Metrics for Migdal et al, Equation (64)

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 23 to 16 computations (30.4% saved)

sample3.5s (18.7%)

Results

1.0s	3068×	body	256	valid
680.0ms	1041×	body	1024	valid
644.0ms	888×	body	1024	infinite
626.0ms	2234×	body	256	infinite
246.0ms	537×	body	512	valid
206.0ms	485×	body	512	infinite
2.0ms	3×	body	2048	valid

Bogosity

preprocess300.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

3602×	`fma-def`
1050×	`div-sub`
966×	`associate-/l*`
960×	`distribute-lft-in`
748×	`distribute-lft-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	41	312
1	121	280
2	341	280
3	920	280
4	2205	280
5	3970	280
6	5361	280
7	5949	280
8	6022	280
9	6033	280
10	6038	280
11	7257	280

Stop Event

1×	node limit

Calls

Call 1

Inputs
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)))
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)))
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 (neg.f64 a1) (neg.f64 a1))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)))
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 (neg.f64 a2) (neg.f64 a2))))
(+.f64 (.f64 (/.f64 (cos.f64 (neg.f64 th)) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 (neg.f64 th)) (sqrt.f64 2)) (.f64 a2 a2)))
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)))
(+.f64 (.f64 (/.f64 (cos.f64 a1) (sqrt.f64 2)) (.f64 th th)) (.f64 (/.f64 (cos.f64 a1) (sqrt.f64 2)) (.f64 a2 a2)))
(+.f64 (.f64 (/.f64 (cos.f64 a2) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 a2) (sqrt.f64 2)) (.f64 th th)))

Outputs
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(/.f64 (.f64 (cos.f64 th) (fma.f64 a1 a1 (.f64 a2 a2))) (sqrt.f64 2))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a1 a1 (.f64 a2 a2)))
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(/.f64 (.f64 (cos.f64 th) (fma.f64 a1 a1 (.f64 a2 a2))) (sqrt.f64 2))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a1 a1 (.f64 a2 a2)))
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 (neg.f64 a1) (neg.f64 a1))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(/.f64 (.f64 (cos.f64 th) (fma.f64 a1 a1 (.f64 a2 a2))) (sqrt.f64 2))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a1 a1 (.f64 a2 a2)))
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 (neg.f64 a2) (neg.f64 a2))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(/.f64 (.f64 (cos.f64 th) (fma.f64 a1 a1 (.f64 a2 a2))) (sqrt.f64 2))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a1 a1 (.f64 a2 a2)))
(+.f64 (.f64 (/.f64 (cos.f64 (neg.f64 th)) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 (neg.f64 th)) (sqrt.f64 2)) (.f64 a2 a2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(/.f64 (.f64 (cos.f64 th) (fma.f64 a1 a1 (.f64 a2 a2))) (sqrt.f64 2))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a1 a1 (.f64 a2 a2)))
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(/.f64 (.f64 (cos.f64 th) (fma.f64 a1 a1 (.f64 a2 a2))) (sqrt.f64 2))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a1 a1 (.f64 a2 a2)))
(+.f64 (.f64 (/.f64 (cos.f64 a1) (sqrt.f64 2)) (.f64 th th)) (.f64 (/.f64 (cos.f64 a1) (sqrt.f64 2)) (.f64 a2 a2)))
(.f64 (/.f64 (cos.f64 a1) (sqrt.f64 2)) (+.f64 (.f64 th th) (*.f64 a2 a2)))
(.f64 (/.f64 (cos.f64 a1) (sqrt.f64 2)) (fma.f64 th th (.f64 a2 a2)))
(.f64 (cos.f64 a1) (/.f64 (fma.f64 th th (.f64 a2 a2)) (sqrt.f64 2)))
(+.f64 (.f64 (/.f64 (cos.f64 a2) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 a2) (sqrt.f64 2)) (.f64 th th)))
(.f64 (/.f64 (cos.f64 a2) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 th th)))
(.f64 (/.f64 (cos.f64 a2) (sqrt.f64 2)) (fma.f64 a1 a1 (.f64 th th)))
(.f64 (/.f64 (cos.f64 a2) (sqrt.f64 2)) (fma.f64 th th (.f64 a1 a1)))
(/.f64 (cos.f64 a2) (/.f64 (sqrt.f64 2) (fma.f64 th th (*.f64 a1 a1))))

Symmetry

(abs a1)

(abs a2)

(abs th)

(sort a1 a2)

Compiler

Compiled 22 to 15 computations (31.8% saved)

eval1.0ms (0%)

Compiler: Compiled 40 to 20 computations (50% saved)

prune3.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(/.f64 (.f64 (cos.f64 th) (fma.f64 a1 a1 (.f64 a2 a2))) (sqrt.f64 2))
▶	99.5%	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)))
▶	99.5%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
▶	99.6%	(/.f64 (.f64 (cos.f64 th) (fma.f64 a1 a1 (.f64 a2 a2))) (sqrt.f64 2))
▶	99.5%	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)))
▶	99.5%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))

Compiler

Compiled 106 to 72 computations (32.1% saved)

localize258.0ms (1.4%)

Localize:

Found 12 expressions with local error:

New	Accuracy	Program
✓	100.0%	(cos.f64 th)
✓	100.0%	(fma.f64 a1 a1 (*.f64 a2 a2))
✓	99.9%	(.f64 (cos.f64 th) (fma.f64 a1 a1 (.f64 a2 a2)))
✓	99.6%	(/.f64 (.f64 (cos.f64 th) (fma.f64 a1 a1 (.f64 a2 a2))) (sqrt.f64 2))
✓	100.0%	(cos.f64 th)
✓	99.7%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1))
✓	99.6%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))
✓	98.9%	(/.f64 (cos.f64 th) (sqrt.f64 2))
✓	100.0%	(cos.f64 th)
✓	100.0%	(+.f64 (.f64 a2 a2) (.f64 a1 a1))
✓	99.6%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
✓	98.9%	(/.f64 (cos.f64 th) (sqrt.f64 2))

Compiler

Compiled 137 to 49 computations (64.2% saved)

series81.0ms (0.4%)

Counts

12 → 224

Calls

66 calls:

Time	Variable		Point	Expression
59.0ms	a1	@	0	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
2.0ms	th	@	inf	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))
1.0ms	th	@	-inf	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
1.0ms	a2	@	0	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
1.0ms	th	@	inf	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))

rewrite356.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

772×	`fma-def`
680×	`expm1-udef`
678×	`log1p-udef`
592×	`log-pow`
418×	`log-div`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	224
1	432	214
2	5408	214

Stop Event

1×	node limit

Counts

12 → 523

Calls

Call 1

Inputs
(/.f64 (cos.f64 th) (sqrt.f64 2))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(+.f64 (.f64 a2 a2) (.f64 a1 a1))
(cos.f64 th)
(/.f64 (cos.f64 th) (sqrt.f64 2))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1))
(cos.f64 th)
(/.f64 (.f64 (cos.f64 th) (fma.f64 a1 a1 (.f64 a2 a2))) (sqrt.f64 2))
(.f64 (cos.f64 th) (fma.f64 a1 a1 (.f64 a2 a2)))
(fma.f64 a1 a1 (*.f64 a2 a2))
(cos.f64 th)

Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) 1)
(*.f64 (cos.f64 th) (pow.f64 2 -1/2))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 1)
(*.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(*.f64 (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2)) (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) (.f64 (cbrt.f64 (cos.f64 th)) (pow.f64 2 -1/2)))
(*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(.f64 (sqrt.f64 (cos.f64 th)) (.f64 (sqrt.f64 (cos.f64 th)) (pow.f64 2 -1/2)))
(*.f64 (neg.f64 (cos.f64 th)) (/.f64 1 (neg.f64 (sqrt.f64 2))))
(*.f64 (pow.f64 2 -1/2) (cos.f64 th))
(*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (cos.f64 th) (cbrt.f64 (sqrt.f64 2))))
(*.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 (cos.f64 th) (pow.f64 2 1/4)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) 1) (/.f64 (cbrt.f64 (cos.f64 th)) (sqrt.f64 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) (cbrt.f64 2)) (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) (pow.f64 2 1/4)) (/.f64 (cbrt.f64 (cos.f64 th)) (pow.f64 2 1/4)))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 th)) 1) (/.f64 (sqrt.f64 (cos.f64 th)) (sqrt.f64 2)))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 th)) (cbrt.f64 2)) (/.f64 (sqrt.f64 (cos.f64 th)) (cbrt.f64 (sqrt.f64 2))))
(pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 1)
(pow.f64 (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) 3)
(pow.f64 (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) 2)
(pow.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) -1)
(neg.f64 (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 2))))
(sqrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2))
(log.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(cbrt.f64 (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 3))
(cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 3) (*.f64 2 (sqrt.f64 2))))
(expm1.f64 (log1p.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(exp.f64 (log.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) 1))
(log1p.f64 (expm1.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(+.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a2 a2))) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a1 a1))))
(+.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a1 a1))) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a2 a2))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a2 a1) 2))))) 1)
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a2 a1) 2)))
(/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)) (sqrt.f64 2))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))))
(/.f64 1 (/.f64 (/.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))) 1))
(/.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) (/.f64 (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a2 a1) 2)) (cbrt.f64 (cos.f64 th))))
(/.f64 (cbrt.f64 (pow.f64 (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)) 2)) (/.f64 (sqrt.f64 2) (cbrt.f64 (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)))))
(/.f64 (sqrt.f64 (cos.f64 th)) (/.f64 (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a2 a1) 2)) (sqrt.f64 (cos.f64 th))))
(/.f64 (.f64 (sqrt.f64 (cos.f64 th)) (hypot.f64 a2 a1)) (/.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (cos.f64 th)) (hypot.f64 a2 a1))))
(/.f64 (neg.f64 (cos.f64 th)) (neg.f64 (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a2 a1) 2))))
(/.f64 (*.f64 (cos.f64 th) (neg.f64 (pow.f64 (hypot.f64 a2 a1) 2))) (neg.f64 (sqrt.f64 2)))
(/.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) (.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (-.f64 (+.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (pow.f64 (.f64 a2 a1) 2))))
(/.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (fma.f64 a2 a2 (.f64 (neg.f64 a1) a1))))
(/.f64 -1 (neg.f64 (/.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)))))
(/.f64 (fma.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (sqrt.f64 2) (.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (*.f64 a1 a1)))) 2)
(/.f64 (.f64 (cos.f64 th) (+.f64 (pow.f64 a2 6) (pow.f64 a1 6))) (.f64 (sqrt.f64 2) (-.f64 (+.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (pow.f64 (*.f64 a2 a1) 2))))
(/.f64 (.f64 (cos.f64 th) (-.f64 (pow.f64 a2 4) (pow.f64 a1 4))) (.f64 (sqrt.f64 2) (fma.f64 a2 a2 (*.f64 (neg.f64 a1) a1))))
(/.f64 (.f64 (neg.f64 (cos.f64 th)) (+.f64 (pow.f64 a2 6) (pow.f64 a1 6))) (.f64 (neg.f64 (sqrt.f64 2)) (-.f64 (+.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (pow.f64 (*.f64 a2 a1) 2))))
(/.f64 (.f64 (neg.f64 (cos.f64 th)) (-.f64 (pow.f64 a2 4) (pow.f64 a1 4))) (.f64 (neg.f64 (sqrt.f64 2)) (fma.f64 a2 a2 (*.f64 (neg.f64 a1) a1))))
(/.f64 (.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) (cos.f64 th)) (.f64 (-.f64 (+.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (pow.f64 (*.f64 a2 a1) 2)) (sqrt.f64 2)))
(/.f64 (.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) 1) (.f64 (-.f64 (+.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (pow.f64 (*.f64 a2 a1) 2)) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(/.f64 (.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) (neg.f64 (cos.f64 th))) (.f64 (-.f64 (+.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (pow.f64 (*.f64 a2 a1) 2)) (neg.f64 (sqrt.f64 2))))
(/.f64 (.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (cos.f64 th)) (.f64 (fma.f64 a2 a2 (*.f64 (neg.f64 a1) a1)) (sqrt.f64 2)))
(/.f64 (.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) 1) (.f64 (fma.f64 a2 a2 (*.f64 (neg.f64 a1) a1)) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(/.f64 (.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (neg.f64 (cos.f64 th))) (.f64 (fma.f64 a2 a2 (*.f64 (neg.f64 a1) a1)) (neg.f64 (sqrt.f64 2))))
(/.f64 (neg.f64 (*.f64 (cos.f64 th) (neg.f64 (pow.f64 (hypot.f64 a2 a1) 2)))) (neg.f64 (neg.f64 (sqrt.f64 2))))
(/.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)) (pow.f64 2 1/4)) (pow.f64 2 1/4))
(/.f64 (+.f64 (pow.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a2 a2))) 3) (pow.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a1 a1))) 3)) (fma.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2) (pow.f64 a2 4) (-.f64 (.f64 (pow.f64 a1 4) (/.f64 (pow.f64 (cos.f64 th) 2) 2)) (.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a2 a2))) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a1 a1)))))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2) (pow.f64 a2 4)) (.f64 (pow.f64 a1 4) (/.f64 (pow.f64 (cos.f64 th) 2) 2))) (-.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a2 a2))) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a1 a1)))))
(/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (pow.f64 a2 6) (pow.f64 a1 6))) (-.f64 (+.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (pow.f64 (.f64 a2 a1) 2)))
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(exp.f64 (log.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a2 a1) 2)))))
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(pow.f64 (pow.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)) 3) 1/3)
(pow.f64 (*.f64 (sqrt.f64 (cos.f64 th)) (hypot.f64 a2 a1)) 2)
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)) 2))
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(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)))))
(log.f64 (.f64 (exp.f64 (.f64 (cos.f64 th) (.f64 a1 a1))) (exp.f64 (.f64 (cos.f64 th) (*.f64 a2 a2)))))
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(exp.f64 (log.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))))
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(/.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (-.f64 (.f64 a1 a1) (.f64 a2 a2)))
(pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 1)
(pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) 3)
(pow.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 3) 1/3)
(pow.f64 (hypot.f64 a2 a1) 2)
(sqrt.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 2))
(log.f64 (exp.f64 (pow.f64 (hypot.f64 a2 a1) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (hypot.f64 a2 a1) 2))))
(log.f64 (.f64 (pow.f64 (exp.f64 a2) a2) (+.f64 1 (expm1.f64 (.f64 a1 a1)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 a2 a2))) (pow.f64 (exp.f64 a1) a1)))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 a2 a2))) (+.f64 1 (expm1.f64 (*.f64 a1 a1)))))
(log.f64 (.f64 (pow.f64 (exp.f64 a1) a1) (+.f64 1 (expm1.f64 (.f64 a2 a2)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 a1 a1))) (pow.f64 (exp.f64 a2) a2)))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 a1 a1))) (+.f64 1 (expm1.f64 (*.f64 a2 a2)))))
(cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 a2 a1) 2)))
(exp.f64 (log.f64 (pow.f64 (hypot.f64 a2 a1) 2)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 a2 a1) 2)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 a2 a1) 2)))
(+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 th))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 th))) (sin.f64 1)))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 th))) 1)
(*.f64 (cos.f64 th) 1)
(*.f64 1 (cos.f64 th))
(*.f64 (cbrt.f64 (cos.f64 th)) (pow.f64 (cbrt.f64 (cos.f64 th)) 2))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) (cbrt.f64 (cos.f64 th)))
(*.f64 (sqrt.f64 (cos.f64 th)) (sqrt.f64 (cos.f64 th)))
(pow.f64 (cos.f64 th) 1)
(pow.f64 (cbrt.f64 (cos.f64 th)) 3)
(pow.f64 (pow.f64 (cos.f64 th) 3) 1/3)
(pow.f64 (sqrt.f64 (cos.f64 th)) 2)
(sqrt.f64 (pow.f64 (cos.f64 th) 2))
(log.f64 (exp.f64 (cos.f64 th)))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 th))))
(cbrt.f64 (pow.f64 (cos.f64 th) 3))
(expm1.f64 (log1p.f64 (cos.f64 th)))
(exp.f64 (log.f64 (cos.f64 th)))
(exp.f64 (*.f64 (log.f64 (cos.f64 th)) 1))
(log1p.f64 (expm1.f64 (cos.f64 th)))

simplify420.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1302×	`associate-/l*`
780×	`times-frac`
576×	`associate-/r*`
570×	`unswap-sqr`
490×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	802	27483
1	2037	25297

Stop Event

1×	node limit

Counts

747 → 557

Calls

Call 1

Inputs
(/.f64 1 (sqrt.f64 2))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2)))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 th 4) (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))) (+.f64 (.f64 -1/720 (/.f64 (pow.f64 th 6) (sqrt.f64 2))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 th 4) (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2)))))
(/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)) (sqrt.f64 2)))))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)) (sqrt.f64 2))) (.f64 1/24 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)) (sqrt.f64 2))))))
(+.f64 (.f64 -1/720 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 6)) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)) (sqrt.f64 2))) (.f64 1/24 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)) (sqrt.f64 2)))))))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(pow.f64 a1 2)
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(pow.f64 a2 2)
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(pow.f64 a2 2)
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(pow.f64 a2 2)
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(pow.f64 a1 2)
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(pow.f64 a1 2)
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 th 2)))
(+.f64 1 (+.f64 (.f64 1/24 (pow.f64 th 4)) (.f64 -1/2 (pow.f64 th 2))))
(+.f64 1 (+.f64 (.f64 1/24 (pow.f64 th 4)) (+.f64 (.f64 -1/720 (pow.f64 th 6)) (*.f64 -1/2 (pow.f64 th 2)))))
(/.f64 1 (sqrt.f64 2))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2)))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 th 4) (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))) (+.f64 (.f64 -1/720 (/.f64 (pow.f64 th 6) (sqrt.f64 2))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 th 4) (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2)))))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2))))
(+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 4)) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2)))))
(+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 4)) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2))) (.f64 -1/720 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 6)) (sqrt.f64 2))))))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2))) (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 4)) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2))) (+.f64 (.f64 -1/720 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 6)) (sqrt.f64 2))) (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 4)) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 th 2)))
(+.f64 1 (+.f64 (.f64 1/24 (pow.f64 th 4)) (.f64 -1/2 (pow.f64 th 2))))
(+.f64 1 (+.f64 (.f64 1/24 (pow.f64 th 4)) (+.f64 (.f64 -1/720 (pow.f64 th 6)) (*.f64 -1/2 (pow.f64 th 2)))))
(/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)) (sqrt.f64 2)))))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)) (sqrt.f64 2))) (.f64 1/24 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)) (sqrt.f64 2))))))
(+.f64 (.f64 -1/720 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 6)) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)) (sqrt.f64 2))) (.f64 1/24 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)) (sqrt.f64 2)))))))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
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(exp.f64 (log.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a2 a1) 2)))))
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(/.f64 1 (/.f64 (fma.f64 a2 a2 (*.f64 (neg.f64 a1) a1)) (-.f64 (pow.f64 a2 4) (pow.f64 a1 4))))
(/.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) (-.f64 (+.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (pow.f64 (*.f64 a2 a1) 2)))
(/.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) (+.f64 (pow.f64 a1 4) (-.f64 (pow.f64 a2 4) (pow.f64 (*.f64 a2 a1) 2))))
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(/.f64 (neg.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6))) (neg.f64 (-.f64 (+.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (pow.f64 (*.f64 a2 a1) 2))))
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(pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 1)
(pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) 3)
(pow.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 3) 1/3)
(pow.f64 (hypot.f64 a2 a1) 2)
(sqrt.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 2))
(log.f64 (exp.f64 (pow.f64 (hypot.f64 a2 a1) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (hypot.f64 a2 a1) 2))))
(log.f64 (.f64 (pow.f64 (exp.f64 a2) a2) (+.f64 1 (expm1.f64 (.f64 a1 a1)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 a2 a2))) (pow.f64 (exp.f64 a1) a1)))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 a2 a2))) (+.f64 1 (expm1.f64 (*.f64 a1 a1)))))
(log.f64 (.f64 (pow.f64 (exp.f64 a1) a1) (+.f64 1 (expm1.f64 (.f64 a2 a2)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 a1 a1))) (pow.f64 (exp.f64 a2) a2)))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 a1 a1))) (+.f64 1 (expm1.f64 (*.f64 a2 a2)))))
(cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 a2 a1) 2)))
(exp.f64 (log.f64 (pow.f64 (hypot.f64 a2 a1) 2)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 a2 a1) 2)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 a2 a1) 2)))
(fma.f64 a2 a2 (*.f64 a1 a1))
(fma.f64 (.f64 a2 a2) 1 (.f64 a1 a1))
(fma.f64 a1 a1 (*.f64 a2 a2))
(fma.f64 (.f64 a1 a1) 1 (.f64 a2 a2))
(fma.f64 1 (.f64 a2 a2) (.f64 a1 a1))
(fma.f64 1 (.f64 a1 a1) (.f64 a2 a2))
(fma.f64 (pow.f64 (cbrt.f64 a1) 2) (cbrt.f64 (pow.f64 a1 4)) (*.f64 a2 a2))
(fma.f64 (pow.f64 (cbrt.f64 a1) 2) (.f64 (cbrt.f64 a1) a1) (.f64 a2 a2))
(fma.f64 (cbrt.f64 (pow.f64 a1 4)) (pow.f64 (cbrt.f64 a1) 2) (*.f64 a2 a2))
(fma.f64 (pow.f64 (cbrt.f64 a2) 2) (cbrt.f64 (pow.f64 a2 4)) (*.f64 a1 a1))
(fma.f64 (pow.f64 (cbrt.f64 a2) 2) (.f64 (cbrt.f64 a2) a2) (.f64 a1 a1))
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(fma.f64 (sqrt.f64 a2) (.f64 (sqrt.f64 a2) a2) (.f64 a1 a1))
(fma.f64 (sqrt.f64 a1) (.f64 (sqrt.f64 a1) a1) (.f64 a2 a2))
(fma.f64 (.f64 a2 (sqrt.f64 a2)) (sqrt.f64 a2) (.f64 a1 a1))
(fma.f64 (.f64 a1 (sqrt.f64 a1)) (sqrt.f64 a1) (.f64 a2 a2))
(fma.f64 (.f64 a2 (pow.f64 (cbrt.f64 a2) 2)) (cbrt.f64 a2) (.f64 a1 a1))
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(*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))
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(exp.f64 (log.f64 (cos.f64 th)))
(exp.f64 (*.f64 (log.f64 (cos.f64 th)) 1))
(log1p.f64 (expm1.f64 (cos.f64 th)))

Outputs
(/.f64 1 (sqrt.f64 2))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2)))
(fma.f64 -1/2 (/.f64 (*.f64 th th) (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2)))
(fma.f64 -1/2 (/.f64 th (/.f64 (sqrt.f64 2) th)) (/.f64 1 (sqrt.f64 2)))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 th 4) (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2))))
(fma.f64 -1/2 (/.f64 (*.f64 th th) (sqrt.f64 2)) (fma.f64 1/24 (/.f64 (pow.f64 th 4) (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))))
(fma.f64 -1/2 (/.f64 th (/.f64 (sqrt.f64 2) th)) (fma.f64 1/24 (/.f64 (pow.f64 th 4) (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))) (+.f64 (.f64 -1/720 (/.f64 (pow.f64 th 6) (sqrt.f64 2))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 th 4) (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2)))))
(fma.f64 -1/2 (/.f64 (*.f64 th th) (sqrt.f64 2)) (fma.f64 -1/720 (/.f64 (pow.f64 th 6) (sqrt.f64 2)) (fma.f64 1/24 (/.f64 (pow.f64 th 4) (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2)))))
(fma.f64 -1/2 (/.f64 th (/.f64 (sqrt.f64 2) th)) (fma.f64 -1/720 (/.f64 (pow.f64 th 6) (sqrt.f64 2)) (fma.f64 1/24 (/.f64 (pow.f64 th 4) (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2)))))
(/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)) (sqrt.f64 2)))))
(+.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (+.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (.f64 (.f64 th th) (fma.f64 a2 a2 (.f64 a1 a1))) (sqrt.f64 2)))))
(+.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) a2) (fma.f64 -1/2 (.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 2)) (.f64 th th)) (*.f64 (/.f64 a1 (sqrt.f64 2)) a1)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)) (sqrt.f64 2))) (.f64 1/24 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)) (sqrt.f64 2))))))
(+.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (+.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (fma.f64 -1/2 (/.f64 (.f64 (.f64 th th) (fma.f64 a2 a2 (.f64 a1 a1))) (sqrt.f64 2)) (.f64 1/24 (/.f64 (.f64 (pow.f64 th 4) (fma.f64 a2 a2 (.f64 a1 a1))) (sqrt.f64 2))))))
(+.f64 (fma.f64 -1/2 (.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 2)) (.f64 th th)) (.f64 (/.f64 a1 (sqrt.f64 2)) a1)) (+.f64 (.f64 1/24 (/.f64 (pow.f64 th 4) (/.f64 (sqrt.f64 2) (fma.f64 a2 a2 (.f64 a1 a1))))) (*.f64 (/.f64 a2 (sqrt.f64 2)) a2)))
(+.f64 (.f64 -1/720 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 6)) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)) (sqrt.f64 2))) (.f64 1/24 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)) (sqrt.f64 2)))))))
(fma.f64 -1/720 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 (sqrt.f64 2) (pow.f64 th 6))) (+.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (+.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (fma.f64 -1/2 (/.f64 (.f64 (.f64 th th) (fma.f64 a2 a2 (.f64 a1 a1))) (sqrt.f64 2)) (.f64 1/24 (/.f64 (.f64 (pow.f64 th 4) (fma.f64 a2 a2 (*.f64 a1 a1))) (sqrt.f64 2)))))))
(+.f64 (fma.f64 -1/720 (/.f64 (pow.f64 th 6) (/.f64 (sqrt.f64 2) (fma.f64 a2 a2 (.f64 a1 a1)))) (.f64 (/.f64 a2 (sqrt.f64 2)) a2)) (+.f64 (.f64 (/.f64 a1 (sqrt.f64 2)) a1) (fma.f64 -1/2 (.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 2)) (.f64 th th)) (.f64 1/24 (/.f64 (pow.f64 th 4) (/.f64 (sqrt.f64 2) (fma.f64 a2 a2 (.f64 a1 a1))))))))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 2)) (cos.f64 th))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 2)) (cos.f64 th))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 2)) (cos.f64 th))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 2)) (cos.f64 th))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 2)) (cos.f64 th))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 2)) (cos.f64 th))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 2)) (cos.f64 th))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 2)) (cos.f64 th))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))
(.f64 a1 (.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2) (.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a2 a2 (.f64 a1 a1)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2) (.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a2 a2 (.f64 a1 a1)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2) (.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a2 a2 (.f64 a1 a1)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))
(.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) a2) (cos.f64 th))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2) (.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a2 a2 (.f64 a1 a1)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2) (.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a2 a2 (.f64 a1 a1)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2) (.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a2 a2 (.f64 a1 a1)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))
(.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) a2) (cos.f64 th))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2) (.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a2 a2 (.f64 a1 a1)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2) (.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a2 a2 (.f64 a1 a1)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2) (.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a2 a2 (.f64 a1 a1)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))
(.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) a2) (cos.f64 th))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2) (.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a2 a2 (.f64 a1 a1)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2) (.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a2 a2 (.f64 a1 a1)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2) (.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a2 a2 (.f64 a1 a1)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))
(.f64 a1 (.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2) (.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a2 a2 (.f64 a1 a1)))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2) (.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a2 a2 (.f64 a1 a1)))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2) (.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a2 a2 (.f64 a1 a1)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))
(.f64 a1 (.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2) (.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a2 a2 (.f64 a1 a1)))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2) (.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a2 a2 (.f64 a1 a1)))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2) (.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a2 a2 (.f64 a1 a1)))
(pow.f64 a1 2)
(*.f64 a1 a1)
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(fma.f64 a2 a2 (*.f64 a1 a1))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(fma.f64 a2 a2 (*.f64 a1 a1))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(fma.f64 a2 a2 (*.f64 a1 a1))
(pow.f64 a2 2)
(*.f64 a2 a2)
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(fma.f64 a2 a2 (*.f64 a1 a1))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(fma.f64 a2 a2 (*.f64 a1 a1))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(fma.f64 a2 a2 (*.f64 a1 a1))
(pow.f64 a2 2)
(*.f64 a2 a2)
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(fma.f64 a2 a2 (*.f64 a1 a1))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(fma.f64 a2 a2 (*.f64 a1 a1))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(fma.f64 a2 a2 (*.f64 a1 a1))
(pow.f64 a2 2)
(*.f64 a2 a2)
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(fma.f64 a2 a2 (*.f64 a1 a1))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(fma.f64 a2 a2 (*.f64 a1 a1))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(fma.f64 a2 a2 (*.f64 a1 a1))
(pow.f64 a1 2)
(*.f64 a1 a1)
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(fma.f64 a2 a2 (*.f64 a1 a1))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(fma.f64 a2 a2 (*.f64 a1 a1))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(fma.f64 a2 a2 (*.f64 a1 a1))
(pow.f64 a1 2)
(*.f64 a1 a1)
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(fma.f64 a2 a2 (*.f64 a1 a1))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(fma.f64 a2 a2 (*.f64 a1 a1))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(fma.f64 a2 a2 (*.f64 a1 a1))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 th 2)))
(+.f64 1 (.f64 -1/2 (.f64 th th)))
(fma.f64 -1/2 (*.f64 th th) 1)
(+.f64 1 (+.f64 (.f64 1/24 (pow.f64 th 4)) (.f64 -1/2 (pow.f64 th 2))))
(+.f64 1 (fma.f64 1/24 (pow.f64 th 4) (.f64 -1/2 (.f64 th th))))
(+.f64 (fma.f64 -1/2 (.f64 th th) 1) (.f64 1/24 (pow.f64 th 4)))
(+.f64 1 (+.f64 (.f64 1/24 (pow.f64 th 4)) (+.f64 (.f64 -1/720 (pow.f64 th 6)) (*.f64 -1/2 (pow.f64 th 2)))))
(+.f64 1 (fma.f64 1/24 (pow.f64 th 4) (fma.f64 -1/720 (pow.f64 th 6) (.f64 -1/2 (.f64 th th)))))
(+.f64 (fma.f64 1/24 (pow.f64 th 4) (.f64 -1/720 (pow.f64 th 6))) (fma.f64 -1/2 (.f64 th th) 1))
(/.f64 1 (sqrt.f64 2))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2)))
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(fma.f64 a2 a2 (*.f64 a1 a1))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(fma.f64 a2 a2 (*.f64 a1 a1))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(fma.f64 a2 a2 (*.f64 a1 a1))
(pow.f64 a1 2)
(*.f64 a1 a1)
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(fma.f64 a2 a2 (*.f64 a1 a1))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(fma.f64 a2 a2 (*.f64 a1 a1))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(fma.f64 a2 a2 (*.f64 a1 a1))
(pow.f64 a1 2)
(*.f64 a1 a1)
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(fma.f64 a2 a2 (*.f64 a1 a1))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(fma.f64 a2 a2 (*.f64 a1 a1))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(fma.f64 a2 a2 (*.f64 a1 a1))
(pow.f64 a1 2)
(*.f64 a1 a1)
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(fma.f64 a2 a2 (*.f64 a1 a1))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(fma.f64 a2 a2 (*.f64 a1 a1))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(fma.f64 a2 a2 (*.f64 a1 a1))
(pow.f64 a2 2)
(*.f64 a2 a2)
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(fma.f64 a2 a2 (*.f64 a1 a1))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(fma.f64 a2 a2 (*.f64 a1 a1))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(fma.f64 a2 a2 (*.f64 a1 a1))
(pow.f64 a2 2)
(*.f64 a2 a2)
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(fma.f64 a2 a2 (*.f64 a1 a1))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(fma.f64 a2 a2 (*.f64 a1 a1))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(fma.f64 a2 a2 (*.f64 a1 a1))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 th 2)))
(+.f64 1 (.f64 -1/2 (.f64 th th)))
(fma.f64 -1/2 (*.f64 th th) 1)
(+.f64 1 (+.f64 (.f64 1/24 (pow.f64 th 4)) (.f64 -1/2 (pow.f64 th 2))))
(+.f64 1 (fma.f64 1/24 (pow.f64 th 4) (.f64 -1/2 (.f64 th th))))
(+.f64 (fma.f64 -1/2 (.f64 th th) 1) (.f64 1/24 (pow.f64 th 4)))
(+.f64 1 (+.f64 (.f64 1/24 (pow.f64 th 4)) (+.f64 (.f64 -1/720 (pow.f64 th 6)) (*.f64 -1/2 (pow.f64 th 2)))))
(+.f64 1 (fma.f64 1/24 (pow.f64 th 4) (fma.f64 -1/720 (pow.f64 th 6) (.f64 -1/2 (.f64 th th)))))
(+.f64 (fma.f64 1/24 (pow.f64 th 4) (.f64 -1/720 (pow.f64 th 6))) (fma.f64 -1/2 (.f64 th th) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) 1)
(/.f64 (cos.f64 th) (sqrt.f64 2))
(*.f64 (cos.f64 th) (pow.f64 2 -1/2))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 1)
(/.f64 (cos.f64 th) (sqrt.f64 2))
(*.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (cos.f64 th) (sqrt.f64 2))
(*.f64 (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2)) (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(*.f64 (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2)))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) (.f64 (cbrt.f64 (cos.f64 th)) (pow.f64 2 -1/2)))
(*.f64 (cos.f64 th) (pow.f64 2 -1/2))
(*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(/.f64 (cos.f64 th) (sqrt.f64 2))
(.f64 (sqrt.f64 (cos.f64 th)) (.f64 (sqrt.f64 (cos.f64 th)) (pow.f64 2 -1/2)))
(*.f64 (cos.f64 th) (pow.f64 2 -1/2))
(*.f64 (neg.f64 (cos.f64 th)) (/.f64 1 (neg.f64 (sqrt.f64 2))))
(/.f64 (cos.f64 th) (sqrt.f64 2))
(*.f64 (pow.f64 2 -1/2) (cos.f64 th))
(*.f64 (cos.f64 th) (pow.f64 2 -1/2))
(*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (cos.f64 th) (cbrt.f64 (sqrt.f64 2))))
(/.f64 (/.f64 (cos.f64 th) (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 2))
(*.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 (cos.f64 th) (pow.f64 2 1/4)))
(/.f64 (/.f64 (cos.f64 th) (pow.f64 2 1/4)) (pow.f64 2 1/4))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) 1) (/.f64 (cbrt.f64 (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (cos.f64 th) (sqrt.f64 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) (cbrt.f64 2)) (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(*.f64 (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) (cbrt.f64 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) (pow.f64 2 1/4)) (/.f64 (cbrt.f64 (cos.f64 th)) (pow.f64 2 1/4)))
(*.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 (cos.f64 th) (pow.f64 2 1/4)))
(/.f64 (/.f64 (cos.f64 th) (pow.f64 2 1/4)) (pow.f64 2 1/4))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 th)) 1) (/.f64 (sqrt.f64 (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (cos.f64 th) (sqrt.f64 2))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 th)) (cbrt.f64 2)) (/.f64 (sqrt.f64 (cos.f64 th)) (cbrt.f64 (sqrt.f64 2))))
(*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (cos.f64 th) (cbrt.f64 (sqrt.f64 2))))
(/.f64 (/.f64 (cos.f64 th) (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 2))
(pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 1)
(/.f64 (cos.f64 th) (sqrt.f64 2))
(pow.f64 (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) 3)
(/.f64 (cos.f64 th) (sqrt.f64 2))
(pow.f64 (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 3) 1/3)
(/.f64 (cos.f64 th) (sqrt.f64 2))
(pow.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) 2)
(/.f64 (cos.f64 th) (sqrt.f64 2))
(pow.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) -1)
(/.f64 (cos.f64 th) (sqrt.f64 2))
(neg.f64 (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 2))))
(/.f64 (cos.f64 th) (sqrt.f64 2))
(sqrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2))
(log.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(/.f64 (cos.f64 th) (sqrt.f64 2))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(/.f64 (cos.f64 th) (sqrt.f64 2))
(cbrt.f64 (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 3))
(/.f64 (cos.f64 th) (sqrt.f64 2))
(cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 3) (*.f64 2 (sqrt.f64 2))))
(expm1.f64 (log1p.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(/.f64 (cos.f64 th) (sqrt.f64 2))
(exp.f64 (log.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(/.f64 (cos.f64 th) (sqrt.f64 2))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) 1))
(/.f64 (cos.f64 th) (sqrt.f64 2))
(log1p.f64 (expm1.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(/.f64 (cos.f64 th) (sqrt.f64 2))
(+.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a2 a2))) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a1 a1))))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2) (.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a2 a2 (.f64 a1 a1)))
(+.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a1 a1))) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a2 a2))))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2) (.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a2 a2 (.f64 a1 a1)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a2 a1) 2))))) 1)
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a2 a1) 2))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a2 a1) 2)))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a2 a1) 2))
(/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a2 a1) 2))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)) (sqrt.f64 2))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a2 a1) 2))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a2 a1) 2))
(/.f64 1 (/.f64 (/.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))) 1))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a2 a1) 2))
(/.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) (/.f64 (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a2 a1) 2)) (cbrt.f64 (cos.f64 th))))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a2 a1) 2))
(/.f64 (cbrt.f64 (pow.f64 (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)) 2)) (/.f64 (sqrt.f64 2) (cbrt.f64 (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)) 2)) (sqrt.f64 2)) (cbrt.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (cos.f64 th) 2) (pow.f64 (hypot.f64 a2 a1) 4))) (/.f64 (cbrt.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))) (sqrt.f64 2)))
(/.f64 (sqrt.f64 (cos.f64 th)) (/.f64 (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a2 a1) 2)) (sqrt.f64 (cos.f64 th))))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a2 a1) 2))
(/.f64 (.f64 (sqrt.f64 (cos.f64 th)) (hypot.f64 a2 a1)) (/.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (cos.f64 th)) (hypot.f64 a2 a1))))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a2 a1) 2))
(/.f64 (neg.f64 (cos.f64 th)) (neg.f64 (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a2 a1) 2))))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a2 a1) 2))
(/.f64 (*.f64 (cos.f64 th) (neg.f64 (pow.f64 (hypot.f64 a2 a1) 2))) (neg.f64 (sqrt.f64 2)))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a2 a1) 2))
(/.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) (.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (-.f64 (+.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (pow.f64 (.f64 a2 a1) 2))))
(/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (pow.f64 a2 6) (pow.f64 a1 6))) (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a2 a1) 2))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) (-.f64 (pow.f64 a2 4) (-.f64 (pow.f64 (.f64 a2 a1) 2) (pow.f64 a1 4)))))
(/.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (fma.f64 a2 a2 (.f64 (neg.f64 a1) a1))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (fma.f64 a2 a2 (neg.f64 (.f64 a1 a1)))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (-.f64 (.f64 a2 a2) (*.f64 a1 a1))))
(/.f64 -1 (neg.f64 (/.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)))))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a2 a1) 2))
(/.f64 (fma.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (sqrt.f64 2) (.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (*.f64 a1 a1)))) 2)
(/.f64 (.f64 (sqrt.f64 2) (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th))) 2)
(/.f64 (.f64 (cos.f64 th) (+.f64 (pow.f64 a2 6) (pow.f64 a1 6))) (.f64 (sqrt.f64 2) (-.f64 (+.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (pow.f64 (*.f64 a2 a1) 2))))
(/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (pow.f64 a2 6) (pow.f64 a1 6))) (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a2 a1) 2))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) (-.f64 (pow.f64 a2 4) (-.f64 (pow.f64 (.f64 a2 a1) 2) (pow.f64 a1 4)))))
(/.f64 (.f64 (cos.f64 th) (-.f64 (pow.f64 a2 4) (pow.f64 a1 4))) (.f64 (sqrt.f64 2) (fma.f64 a2 a2 (*.f64 (neg.f64 a1) a1))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (fma.f64 a2 a2 (neg.f64 (.f64 a1 a1)))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (-.f64 (.f64 a2 a2) (*.f64 a1 a1))))
(/.f64 (.f64 (neg.f64 (cos.f64 th)) (+.f64 (pow.f64 a2 6) (pow.f64 a1 6))) (.f64 (neg.f64 (sqrt.f64 2)) (-.f64 (+.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (pow.f64 (*.f64 a2 a1) 2))))
(/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (pow.f64 a2 6) (pow.f64 a1 6))) (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a2 a1) 2))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) (-.f64 (pow.f64 a2 4) (-.f64 (pow.f64 (.f64 a2 a1) 2) (pow.f64 a1 4)))))
(/.f64 (.f64 (neg.f64 (cos.f64 th)) (-.f64 (pow.f64 a2 4) (pow.f64 a1 4))) (.f64 (neg.f64 (sqrt.f64 2)) (fma.f64 a2 a2 (*.f64 (neg.f64 a1) a1))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (fma.f64 a2 a2 (neg.f64 (.f64 a1 a1)))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (-.f64 (.f64 a2 a2) (*.f64 a1 a1))))
(/.f64 (.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) (cos.f64 th)) (.f64 (-.f64 (+.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (pow.f64 (*.f64 a2 a1) 2)) (sqrt.f64 2)))
(/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (pow.f64 a2 6) (pow.f64 a1 6))) (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a2 a1) 2))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) (-.f64 (pow.f64 a2 4) (-.f64 (pow.f64 (.f64 a2 a1) 2) (pow.f64 a1 4)))))
(/.f64 (.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) 1) (.f64 (-.f64 (+.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (pow.f64 (*.f64 a2 a1) 2)) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (pow.f64 a2 6) (pow.f64 a1 6))) (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a2 a1) 2))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) (-.f64 (pow.f64 a2 4) (-.f64 (pow.f64 (.f64 a2 a1) 2) (pow.f64 a1 4)))))
(/.f64 (.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) (neg.f64 (cos.f64 th))) (.f64 (-.f64 (+.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (pow.f64 (*.f64 a2 a1) 2)) (neg.f64 (sqrt.f64 2))))
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(/.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))
(*.f64 (pow.f64 (hypot.f64 a2 a1) 2) 1)
(pow.f64 (hypot.f64 a2 a1) 2)
(*.f64 1 (pow.f64 (hypot.f64 a2 a1) 2))
(pow.f64 (hypot.f64 a2 a1) 2)
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 2)))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 4)))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 2)) (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 2)))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 4)))
(*.f64 (hypot.f64 a2 a1) (hypot.f64 a2 a1))
(pow.f64 (hypot.f64 a2 a1) 2)
(.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) (/.f64 1 (-.f64 (+.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (pow.f64 (.f64 a2 a1) 2))))
(/.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a2 a1) 2))))
(/.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) (-.f64 (pow.f64 a2 4) (-.f64 (pow.f64 (*.f64 a2 a1) 2) (pow.f64 a1 4))))
(.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (/.f64 1 (fma.f64 a2 a2 (.f64 (neg.f64 a1) a1))))
(/.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (fma.f64 a2 a2 (neg.f64 (*.f64 a1 a1))))
(/.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))
(/.f64 1 (/.f64 (-.f64 (+.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (pow.f64 (*.f64 a2 a1) 2)) (+.f64 (pow.f64 a2 6) (pow.f64 a1 6))))
(/.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a2 a1) 2))))
(/.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) (-.f64 (pow.f64 a2 4) (-.f64 (pow.f64 (*.f64 a2 a1) 2) (pow.f64 a1 4))))
(/.f64 1 (/.f64 (fma.f64 a2 a2 (*.f64 (neg.f64 a1) a1)) (-.f64 (pow.f64 a2 4) (pow.f64 a1 4))))
(/.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (fma.f64 a2 a2 (neg.f64 (*.f64 a1 a1))))
(/.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))
(/.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) (-.f64 (+.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (pow.f64 (*.f64 a2 a1) 2)))
(/.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a2 a1) 2))))
(/.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) (-.f64 (pow.f64 a2 4) (-.f64 (pow.f64 (*.f64 a2 a1) 2) (pow.f64 a1 4))))
(/.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) (+.f64 (pow.f64 a1 4) (-.f64 (pow.f64 a2 4) (pow.f64 (*.f64 a2 a1) 2))))
(/.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a2 a1) 2))))
(/.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) (-.f64 (pow.f64 a2 4) (-.f64 (pow.f64 (*.f64 a2 a1) 2) (pow.f64 a1 4))))
(/.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (fma.f64 a2 a2 (*.f64 (neg.f64 a1) a1)))
(/.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (fma.f64 a2 a2 (neg.f64 (*.f64 a1 a1))))
(/.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))
(/.f64 (neg.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6))) (neg.f64 (-.f64 (+.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (pow.f64 (*.f64 a2 a1) 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6))) (neg.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a2 a1) 2)))))
(.f64 1 (/.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) (-.f64 (pow.f64 a2 4) (-.f64 (pow.f64 (.f64 a2 a1) 2) (pow.f64 a1 4)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4))) (neg.f64 (fma.f64 a2 a2 (*.f64 (neg.f64 a1) a1))))
(/.f64 (neg.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4))) (neg.f64 (fma.f64 a2 a2 (neg.f64 (*.f64 a1 a1)))))
(.f64 1 (/.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (-.f64 (.f64 a2 a2) (*.f64 a1 a1))))
(/.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (-.f64 (.f64 a1 a1) (.f64 a2 a2)))
(pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 1)
(pow.f64 (hypot.f64 a2 a1) 2)
(pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) 3)
(pow.f64 (hypot.f64 a2 a1) 2)
(pow.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 3) 1/3)
(pow.f64 (hypot.f64 a2 a1) 2)
(pow.f64 (hypot.f64 a2 a1) 2)
(sqrt.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 2))
(sqrt.f64 (pow.f64 (hypot.f64 a2 a1) 4))
(log.f64 (exp.f64 (pow.f64 (hypot.f64 a2 a1) 2)))
(pow.f64 (hypot.f64 a2 a1) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (hypot.f64 a2 a1) 2))))
(pow.f64 (hypot.f64 a2 a1) 2)
(log.f64 (.f64 (pow.f64 (exp.f64 a2) a2) (+.f64 1 (expm1.f64 (.f64 a1 a1)))))
(+.f64 (log1p.f64 (expm1.f64 (.f64 a1 a1))) (.f64 a2 (log.f64 (exp.f64 a2))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 a2 a2))) (pow.f64 (exp.f64 a1) a1)))
(+.f64 (log1p.f64 (expm1.f64 (.f64 a2 a2))) (.f64 a1 (log.f64 (exp.f64 a1))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 a2 a2))) (+.f64 1 (expm1.f64 (*.f64 a1 a1)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 a1 a1))) (+.f64 1 (expm1.f64 (*.f64 a2 a2)))))
(+.f64 (log1p.f64 (expm1.f64 (.f64 a1 a1))) (log1p.f64 (expm1.f64 (.f64 a2 a2))))
(log.f64 (.f64 (pow.f64 (exp.f64 a1) a1) (+.f64 1 (expm1.f64 (.f64 a2 a2)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 a2 a2))) (pow.f64 (exp.f64 a1) a1)))
(+.f64 (log1p.f64 (expm1.f64 (.f64 a2 a2))) (.f64 a1 (log.f64 (exp.f64 a1))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 a1 a1))) (pow.f64 (exp.f64 a2) a2)))
(log.f64 (.f64 (pow.f64 (exp.f64 a2) a2) (+.f64 1 (expm1.f64 (.f64 a1 a1)))))
(+.f64 (log1p.f64 (expm1.f64 (.f64 a1 a1))) (.f64 a2 (log.f64 (exp.f64 a2))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 a1 a1))) (+.f64 1 (expm1.f64 (*.f64 a2 a2)))))
(+.f64 (log1p.f64 (expm1.f64 (.f64 a1 a1))) (log1p.f64 (expm1.f64 (.f64 a2 a2))))
(cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 3))
(pow.f64 (hypot.f64 a2 a1) 2)
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 a2 a1) 2)))
(pow.f64 (hypot.f64 a2 a1) 2)
(exp.f64 (log.f64 (pow.f64 (hypot.f64 a2 a1) 2)))
(pow.f64 (hypot.f64 a2 a1) 2)
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 a2 a1) 2)) 1))
(pow.f64 (hypot.f64 a2 a1) 2)
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 a2 a1) 2)))
(pow.f64 (hypot.f64 a2 a1) 2)
(+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 th))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 th))) (sin.f64 1)))
(fma.f64 (cos.f64 (exp.f64 (log1p.f64 th))) (cos.f64 1) (*.f64 (sin.f64 (exp.f64 (log1p.f64 th))) (sin.f64 1)))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 th))) 1)
(cos.f64 th)
(*.f64 (cos.f64 th) 1)
(cos.f64 th)
(*.f64 1 (cos.f64 th))
(cos.f64 th)
(*.f64 (cbrt.f64 (cos.f64 th)) (pow.f64 (cbrt.f64 (cos.f64 th)) 2))
(cos.f64 th)
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) (cbrt.f64 (cos.f64 th)))
(cos.f64 th)
(*.f64 (sqrt.f64 (cos.f64 th)) (sqrt.f64 (cos.f64 th)))
(cos.f64 th)
(pow.f64 (cos.f64 th) 1)
(cos.f64 th)
(pow.f64 (cbrt.f64 (cos.f64 th)) 3)
(cos.f64 th)
(pow.f64 (pow.f64 (cos.f64 th) 3) 1/3)
(cos.f64 th)
(pow.f64 (sqrt.f64 (cos.f64 th)) 2)
(cos.f64 th)
(sqrt.f64 (pow.f64 (cos.f64 th) 2))
(fabs.f64 (cos.f64 th))
(log.f64 (exp.f64 (cos.f64 th)))
(cos.f64 th)
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 th))))
(cos.f64 th)
(cbrt.f64 (pow.f64 (cos.f64 th) 3))
(cos.f64 th)
(expm1.f64 (log1p.f64 (cos.f64 th)))
(cos.f64 th)
(exp.f64 (log.f64 (cos.f64 th)))
(cos.f64 th)
(exp.f64 (*.f64 (log.f64 (cos.f64 th)) 1))
(cos.f64 th)
(log1p.f64 (expm1.f64 (cos.f64 th)))
(cos.f64 th)

eval541.0ms (2.9%)

Compiler: Compiled 16402 to 8965 computations (45.3% saved)

prune217.0ms (1.2%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	735	12	747
Fresh	0	0	0
Picked	2	1	3
Done	0	0	0
Total	737	13	750

Accuracy

100.0%

Counts

750 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	63.1%	(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2))
▶	99.6%	(/.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)) (pow.f64 2 1/4)) (pow.f64 2 1/4))
	71.5%	(/.f64 (.f64 (sqrt.f64 (cos.f64 th)) (hypot.f64 a2 a1)) (/.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (cos.f64 th)) (hypot.f64 a2 a1))))
	99.3%	(/.f64 (.f64 (sqrt.f64 2) (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th))) 2)
	98.9%	(/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (sqrt.f64 2))
	99.6%	(.f64 (/.f64 (/.f64 (cos.f64 th) (pow.f64 2 1/4)) (pow.f64 2 1/4)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
	66.6%	(.f64 (/.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
▶	98.9%	(.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))
✓	99.5%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
	98.8%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))
▶	63.1%	(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
	99.6%	(.f64 (.f64 (pow.f64 2 -1/2) (cos.f64 th)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
▶	98.9%	(.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) a2) (cos.f64 th))
▶	63.1%	(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2))
▶	99.6%	(/.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)) (pow.f64 2 1/4)) (pow.f64 2 1/4))
	71.5%	(/.f64 (.f64 (sqrt.f64 (cos.f64 th)) (hypot.f64 a2 a1)) (/.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (cos.f64 th)) (hypot.f64 a2 a1))))
	99.3%	(/.f64 (.f64 (sqrt.f64 2) (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th))) 2)
	98.9%	(/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (sqrt.f64 2))
	99.6%	(.f64 (/.f64 (/.f64 (cos.f64 th) (pow.f64 2 1/4)) (pow.f64 2 1/4)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
	66.6%	(.f64 (/.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
▶	98.9%	(.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))
✓	99.5%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
	98.8%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))
▶	63.1%	(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
	99.6%	(.f64 (.f64 (pow.f64 2 -1/2) (cos.f64 th)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
▶	98.9%	(.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) a2) (cos.f64 th))

Compiler

Compiled 796 to 570 computations (28.4% saved)

localize475.0ms (2.6%)

Localize:

Found 15 expressions with local error:

New	Accuracy	Program
✓	99.7%	(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2))
	100.0%	(cos.f64 th)
✓	99.9%	(.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))
✓	99.6%	(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
	100.0%	(cos.f64 th)
✓	99.9%	(.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) a2) (cos.f64 th))
✓	99.8%	(*.f64 (/.f64 a2 (sqrt.f64 2)) a2)
✓	99.3%	(/.f64 a2 (sqrt.f64 2))
	100.0%	(+.f64 (.f64 a2 a2) (.f64 a1 a1))
✓	99.7%	(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
✓	98.4%	(/.f64 1 (sqrt.f64 2))
✓	100.0%	(pow.f64 (hypot.f64 a2 a1) 2)
✓	99.9%	(*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))
✓	99.8%	(/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)) (pow.f64 2 1/4))
✓	99.8%	(/.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)) (pow.f64 2 1/4)) (pow.f64 2 1/4))

Compiler

Compiled 167 to 82 computations (50.9% saved)

series206.0ms (1.1%)

Counts

12 → 252

Calls

66 calls:

Time	Variable		Point	Expression
101.0ms	th	@	inf	(/.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)) (pow.f64 2 1/4)) (pow.f64 2 1/4))
34.0ms	a2	@	0	(/.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)) (pow.f64 2 1/4)) (pow.f64 2 1/4))
31.0ms	a1	@	0	(/.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)) (pow.f64 2 1/4)) (pow.f64 2 1/4))
11.0ms	th	@	inf	(/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)) (pow.f64 2 1/4))
3.0ms	th	@	0	(/.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)) (pow.f64 2 1/4)) (pow.f64 2 1/4))

rewrite409.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

888×	`expm1-udef`
542×	`add-sqr-sqrt`
532×	`pow1`
528×	`*-un-lft-identity`
506×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	274
1	657	254
2	7719	254

Stop Event

1×	node limit

Counts

12 → 450

Calls

Call 1

Inputs
(/.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)) (pow.f64 2 1/4)) (pow.f64 2 1/4))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)) (pow.f64 2 1/4))
(*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))
(pow.f64 (hypot.f64 a2 a1) 2)
(/.f64 1 (sqrt.f64 2))
(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(/.f64 a2 (sqrt.f64 2))
(*.f64 (/.f64 a2 (sqrt.f64 2)) a2)
(.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) a2) (cos.f64 th))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2))

Outputs
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)) (sqrt.f64 1/2)))) 1)
(.f64 (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)) (sqrt.f64 1/2))
(.f64 (.f64 (cos.f64 th) (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (pow.f64 2 -1/4))) (pow.f64 2 -1/4))
(.f64 (.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)) (sqrt.f64 1/2)) 1)
(.f64 1 (.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)) (sqrt.f64 1/2)))
(.f64 (cbrt.f64 (.f64 (.f64 (pow.f64 (cos.f64 th) 2) (pow.f64 (hypot.f64 a2 a1) 4)) (sqrt.f64 1/2))) (.f64 (cbrt.f64 (.f64 (cos.f64 th) (.f64 (pow.f64 (hypot.f64 a2 a1) 2) (pow.f64 2 -1/4)))) (pow.f64 2 -1/4)))
(.f64 (cbrt.f64 (sqrt.f64 1/2)) (/.f64 (.f64 (cos.f64 th) (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (pow.f64 2 -1/4))) (cbrt.f64 (pow.f64 2 1/4))))
(.f64 (cbrt.f64 (.f64 (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)) (sqrt.f64 1/2))) (cbrt.f64 (/.f64 (.f64 (pow.f64 (cos.f64 th) 2) (pow.f64 (hypot.f64 a2 a1) 4)) 2)))
(.f64 (cbrt.f64 (/.f64 (.f64 (pow.f64 (cos.f64 th) 2) (pow.f64 (hypot.f64 a2 a1) 4)) 2)) (cbrt.f64 (.f64 (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)) (sqrt.f64 1/2))))
(.f64 (/.f64 (.f64 (hypot.f64 a2 a1) (sqrt.f64 (cos.f64 th))) (pow.f64 2 1/8)) (.f64 (/.f64 (.f64 (hypot.f64 a2 a1) (sqrt.f64 (cos.f64 th))) (pow.f64 2 1/8)) (pow.f64 2 -1/4)))
(.f64 (/.f64 (.f64 (hypot.f64 a2 a1) (sqrt.f64 (cos.f64 th))) (pow.f64 2 1/4)) (/.f64 (*.f64 (hypot.f64 a2 a1) (sqrt.f64 (cos.f64 th))) (pow.f64 2 1/4)))
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(.f64 (.f64 a2 (cbrt.f64 (.f64 (.f64 a2 a2) 1/2))) (cbrt.f64 (*.f64 a2 (sqrt.f64 1/2))))
(.f64 (.f64 a2 (sqrt.f64 (.f64 a2 (sqrt.f64 1/2)))) (sqrt.f64 (.f64 a2 (sqrt.f64 1/2))))
(.f64 (.f64 (*.f64 a2 a2) (cbrt.f64 1/2)) (cbrt.f64 (sqrt.f64 1/2)))
(.f64 (.f64 (*.f64 a2 a2) (pow.f64 2 -1/4)) (pow.f64 2 -1/4))
(.f64 (.f64 (*.f64 a2 (sqrt.f64 1/2)) (pow.f64 (cbrt.f64 a2) 2)) (cbrt.f64 a2))
(.f64 (.f64 (*.f64 a2 (sqrt.f64 1/2)) (sqrt.f64 a2)) (sqrt.f64 a2))
(.f64 (.f64 (sqrt.f64 1/2) (cbrt.f64 (pow.f64 a2 4))) (pow.f64 (cbrt.f64 a2) 2))
(pow.f64 (.f64 (sqrt.f64 1/2) (.f64 a2 a2)) 1)
(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 1/2) (.f64 a2 a2))) 3)
(pow.f64 (pow.f64 (.f64 (sqrt.f64 1/2) (.f64 a2 a2)) 3) 1/3)
(pow.f64 (/.f64 a2 (pow.f64 2 1/4)) 2)
(pow.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)) -1)
(neg.f64 (/.f64 (*.f64 a2 a2) (neg.f64 (sqrt.f64 2))))
(sqrt.f64 (*.f64 (pow.f64 a2 4) 1/2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 a2) (sqrt.f64 1/2)) a2))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (sqrt.f64 1/2) (.f64 a2 a2)))))
(cbrt.f64 (pow.f64 (.f64 (sqrt.f64 1/2) (.f64 a2 a2)) 3))
(cbrt.f64 (.f64 (pow.f64 a2 3) (pow.f64 (.f64 a2 (sqrt.f64 1/2)) 3)))
(cbrt.f64 (*.f64 (pow.f64 a2 6) (/.f64 1/2 (sqrt.f64 2))))
(cbrt.f64 (.f64 (pow.f64 (.f64 a2 (sqrt.f64 1/2)) 3) (pow.f64 a2 3)))
(cbrt.f64 (*.f64 (/.f64 1/2 (sqrt.f64 2)) (pow.f64 a2 6)))
(cbrt.f64 (/.f64 (pow.f64 a2 6) (*.f64 2 (sqrt.f64 2))))
(expm1.f64 (log1p.f64 (.f64 (sqrt.f64 1/2) (.f64 a2 a2))))
(exp.f64 (log.f64 (.f64 (sqrt.f64 1/2) (.f64 a2 a2))))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 1/2) (*.f64 a2 a2))) 1))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 1/2)) (*.f64 2 (log.f64 a2))))
(log1p.f64 (expm1.f64 (.f64 (sqrt.f64 1/2) (.f64 a2 a2))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (*.f64 a2 a2))))) 1)
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(/.f64 1 (/.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (.f64 a2 a2))))
(/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (*.f64 (cos.f64 th) a2) (/.f64 (sqrt.f64 2) a2))
(/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (sqrt.f64 2))
(/.f64 (neg.f64 (.f64 (cos.f64 th) (.f64 a2 a2))) (neg.f64 (sqrt.f64 2)))
(/.f64 (.f64 (cos.f64 th) (.f64 a2 (neg.f64 a2))) (neg.f64 (sqrt.f64 2)))
(/.f64 (.f64 (neg.f64 a2) (.f64 (cos.f64 th) a2)) (neg.f64 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 a2 (neg.f64 a2)) (cos.f64 th)) (neg.f64 (sqrt.f64 2)))
(/.f64 (/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) 1) (sqrt.f64 2))
(/.f64 (/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (pow.f64 2 1/4)) (pow.f64 2 1/4))
(pow.f64 (.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (*.f64 a2 a2))) 1)
(pow.f64 (cbrt.f64 (.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))) 3)
(pow.f64 (pow.f64 (.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (*.f64 a2 a2))) 3) 1/3)
(pow.f64 (*.f64 (/.f64 a2 (pow.f64 2 1/4)) (sqrt.f64 (cos.f64 th))) 2)
(sqrt.f64 (.f64 (.f64 (pow.f64 a2 4) 1/2) (pow.f64 (cos.f64 th) 2)))
(log.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 a2) (sqrt.f64 1/2)) a2) (cos.f64 th)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (*.f64 a2 a2))))))
(cbrt.f64 (pow.f64 (.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (*.f64 a2 a2))) 3))
(cbrt.f64 (.f64 (pow.f64 (cos.f64 th) 3) (pow.f64 (.f64 (sqrt.f64 1/2) (*.f64 a2 a2)) 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 1/2) (*.f64 a2 a2)) 3) (pow.f64 (cos.f64 th) 3)))
(expm1.f64 (log1p.f64 (.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))))
(exp.f64 (log.f64 (.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (.f64 a2 a2)))) 1))
(log1p.f64 (expm1.f64 (.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 a2 a2)) (.f64 a1 (.f64 a1 (sqrt.f64 1/2))))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 a2 a2)) (.f64 (.f64 a1 (*.f64 a1 (sqrt.f64 1/2))) 1))
(+.f64 (.f64 a1 (.f64 a1 (sqrt.f64 1/2))) (.f64 (sqrt.f64 1/2) (.f64 a2 a2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 (hypot.f64 a2 a1) 2)))) 1)
(.f64 (hypot.f64 a2 a1) (.f64 (hypot.f64 a2 a1) (sqrt.f64 1/2)))
(.f64 1 (.f64 (sqrt.f64 1/2) (pow.f64 (hypot.f64 a2 a1) 2)))
(*.f64 (sqrt.f64 1/2) (pow.f64 (hypot.f64 a2 a1) 2))
(*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 1/2))
(.f64 (.f64 (sqrt.f64 1/2) (pow.f64 (hypot.f64 a2 a1) 2)) 1)
(.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 4)) (.f64 (pow.f64 (cbrt.f64 (hypot.f64 a2 a1)) 2) (sqrt.f64 1/2)))
(.f64 (cbrt.f64 1/2) (.f64 (cbrt.f64 (sqrt.f64 1/2)) (pow.f64 (hypot.f64 a2 a1) 2)))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 1/2) (pow.f64 (hypot.f64 a2 a1) 2))) (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 4) 1/2)))
(.f64 (cbrt.f64 (.f64 (pow.f64 (hypot.f64 a2 a1) 4) 1/2)) (cbrt.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 (hypot.f64 a2 a1) 2))))
(.f64 (.f64 (hypot.f64 a2 a1) (pow.f64 2 -1/4)) (*.f64 (hypot.f64 a2 a1) (pow.f64 2 -1/4)))
(*.f64 (neg.f64 (pow.f64 (hypot.f64 a2 a1) 2)) (/.f64 1 (neg.f64 (sqrt.f64 2))))
(*.f64 (pow.f64 2 -1/4) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (pow.f64 2 1/4)))
(.f64 (pow.f64 2 -1/4) (.f64 (pow.f64 2 -1/4) (pow.f64 (hypot.f64 a2 a1) 2)))
(*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cbrt.f64 (sqrt.f64 2))))
(*.f64 (/.f64 (hypot.f64 a2 a1) 1) (/.f64 (hypot.f64 a2 a1) (sqrt.f64 2)))
(*.f64 (/.f64 (hypot.f64 a2 a1) (cbrt.f64 2)) (/.f64 (hypot.f64 a2 a1) (cbrt.f64 (sqrt.f64 2))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 4)) 1) (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 a2 a1)) 2) (sqrt.f64 2)))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 4)) (cbrt.f64 2)) (cbrt.f64 (.f64 (sqrt.f64 1/2) (pow.f64 (hypot.f64 a2 a1) 2))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 4)) (pow.f64 2 1/4)) (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 a2 a1)) 2) (pow.f64 2 1/4)))
(.f64 (.f64 (sqrt.f64 1/2) (hypot.f64 a2 a1)) (hypot.f64 a2 a1))
(.f64 (.f64 (sqrt.f64 1/2) (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 4))) (pow.f64 (cbrt.f64 (hypot.f64 a2 a1)) 2))
(.f64 (.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cbrt.f64 1/2)) (cbrt.f64 (sqrt.f64 1/2)))
(.f64 (.f64 (pow.f64 (hypot.f64 a2 a1) 2) (pow.f64 2 -1/4)) (pow.f64 2 -1/4))
(pow.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 (hypot.f64 a2 a1) 2)) 1)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 (hypot.f64 a2 a1) 2))) 3)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 (hypot.f64 a2 a1) 2)) 3) 1/3)
(pow.f64 (*.f64 (hypot.f64 a2 a1) (pow.f64 2 -1/4)) 2)
(pow.f64 (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a2 a1) 2)) -1)
(neg.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (neg.f64 (sqrt.f64 2))))
(sqrt.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 4) 1/2))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) (pow.f64 (hypot.f64 a2 a1) 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 (hypot.f64 a2 a1) 2)))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 (hypot.f64 a2 a1) 2)) 3))
(cbrt.f64 (*.f64 (/.f64 1/2 (sqrt.f64 2)) (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 3)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 3) (/.f64 1/2 (sqrt.f64 2))))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 3) (*.f64 2 (sqrt.f64 2))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 (hypot.f64 a2 a1) 2))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 (hypot.f64 a2 a1) 2))))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 1/2) (pow.f64 (hypot.f64 a2 a1) 2))) 1))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 (hypot.f64 a2 a1) 2))))
(fma.f64 a2 (.f64 a2 (sqrt.f64 1/2)) (.f64 a1 (*.f64 a1 (sqrt.f64 1/2))))
(fma.f64 1 (.f64 (sqrt.f64 1/2) (.f64 a2 a2)) (.f64 a1 (.f64 a1 (sqrt.f64 1/2))))
(fma.f64 (sqrt.f64 1/2) (.f64 a2 a2) (.f64 a1 (*.f64 a1 (sqrt.f64 1/2))))
(fma.f64 (.f64 a2 a2) (sqrt.f64 1/2) (.f64 a1 (*.f64 a1 (sqrt.f64 1/2))))
(fma.f64 (.f64 a2 (sqrt.f64 1/2)) a2 (.f64 a1 (*.f64 a1 (sqrt.f64 1/2))))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 a2 4) 1/2)) (cbrt.f64 (.f64 (sqrt.f64 1/2) (.f64 a2 a2))) (.f64 a1 (*.f64 a1 (sqrt.f64 1/2))))
(fma.f64 (/.f64 a2 (pow.f64 2 1/4)) (/.f64 a2 (pow.f64 2 1/4)) (.f64 a1 (.f64 a1 (sqrt.f64 1/2))))

simplify234.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1458×	`fma-def`
868×	`times-frac`
572×	`*-commutative`
538×	`associate-+r+`
458×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1075	28418
1	3043	26628

Stop Event

1×	node limit

Counts

702 → 687

Calls

Call 1

Inputs
(*.f64 (pow.f64 1/4 1/4) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 1/4 1/4) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)))) (.f64 (pow.f64 1/4 1/4) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 1/4 1/4) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 1/4 1/4) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)))) (*.f64 (pow.f64 1/4 1/4) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 1/4 1/4) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 1/4 1/4) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)))) (+.f64 (.f64 -1/720 (.f64 (pow.f64 1/4 1/4) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 6)))) (.f64 (pow.f64 1/4 1/4) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))))
(.f64 (pow.f64 1/4 1/4) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (pow.f64 1/4 1/4) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (pow.f64 1/4 1/4) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (pow.f64 1/4 1/4) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (pow.f64 1/4 1/4) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (pow.f64 1/4 1/4) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (pow.f64 1/4 1/4) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (pow.f64 1/4 1/4) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (pow.f64 1/4 1/4) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (.f64 (pow.f64 1/4 1/4) (.f64 (pow.f64 a2 2) (cos.f64 th))) (.f64 (pow.f64 1/4 1/4) (.f64 (pow.f64 a1 2) (cos.f64 th))))
(+.f64 (.f64 (pow.f64 1/4 1/4) (.f64 (pow.f64 a2 2) (cos.f64 th))) (+.f64 (.f64 (.f64 (+.f64 (.f64 -1 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 a1 6))) (pow.f64 (/.f64 -1/8 (pow.f64 a1 3)) 2))) (.f64 5/64 (/.f64 1 (pow.f64 a1 6)))) (.f64 (cos.f64 th) (pow.f64 a2 8))) (pow.f64 1/4 1/4)) (.f64 (pow.f64 1/4 1/4) (.f64 (pow.f64 a1 2) (cos.f64 th)))))
(+.f64 (.f64 (pow.f64 1/4 1/4) (.f64 (pow.f64 a2 2) (cos.f64 th))) (+.f64 (.f64 (.f64 (+.f64 (.f64 -1 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 a1 6))) (pow.f64 (/.f64 -1/8 (pow.f64 a1 3)) 2))) (.f64 5/64 (/.f64 1 (pow.f64 a1 6)))) (.f64 (cos.f64 th) (pow.f64 a2 8))) (pow.f64 1/4 1/4)) (+.f64 (.f64 (pow.f64 1/4 1/4) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (pow.f64 1/4 1/4) (.f64 (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 1/64 (/.f64 1 (pow.f64 a1 8))) (.f64 -1/2 (/.f64 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 a1 6))) (pow.f64 (/.f64 -1/8 (pow.f64 a1 3)) 2)) (pow.f64 a1 2)))) (pow.f64 a1 2))) (+.f64 (.f64 1/8 (/.f64 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 a1 6))) (pow.f64 (/.f64 -1/8 (pow.f64 a1 3)) 2)) (pow.f64 a1 4))) (+.f64 (.f64 1/256 (/.f64 1 (pow.f64 a1 10))) (.f64 -1 (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 1/64 (/.f64 1 (pow.f64 a1 8))) (.f64 -1/2 (/.f64 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 a1 6))) (pow.f64 (/.f64 -1/8 (pow.f64 a1 3)) 2)) (pow.f64 a1 2)))) (pow.f64 a1 2))) (+.f64 (pow.f64 (/.f64 1/16 (pow.f64 a1 5)) 2) (.f64 1/8 (/.f64 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 a1 6))) (pow.f64 (/.f64 -1/8 (pow.f64 a1 3)) 2)) (pow.f64 a1 4))))))))) (*.f64 (pow.f64 a2 12) (cos.f64 th)))))))
(.f64 (pow.f64 1/4 1/4) (.f64 (pow.f64 a2 2) (cos.f64 th)))
(+.f64 (.f64 (pow.f64 1/4 1/4) (.f64 (pow.f64 a2 2) (cos.f64 th))) (.f64 (pow.f64 1/4 1/4) (.f64 (pow.f64 a1 2) (cos.f64 th))))
(+.f64 (.f64 (pow.f64 1/4 1/4) (.f64 (pow.f64 a2 2) (cos.f64 th))) (+.f64 (.f64 (pow.f64 1/4 1/4) (/.f64 (.f64 (+.f64 (.f64 -1/4 (pow.f64 a1 4)) (.f64 1/4 (pow.f64 a1 4))) (cos.f64 th)) (pow.f64 a2 2))) (.f64 (pow.f64 1/4 1/4) (.f64 (pow.f64 a1 2) (cos.f64 th)))))
(+.f64 (.f64 (pow.f64 1/4 1/4) (.f64 (pow.f64 a2 2) (cos.f64 th))) (+.f64 (.f64 (pow.f64 1/4 1/4) (/.f64 (.f64 (+.f64 (.f64 1/8 (pow.f64 a1 6)) (.f64 -1/8 (pow.f64 a1 6))) (cos.f64 th)) (pow.f64 a2 4))) (+.f64 (.f64 (pow.f64 1/4 1/4) (/.f64 (.f64 (+.f64 (.f64 -1/4 (pow.f64 a1 4)) (.f64 1/4 (pow.f64 a1 4))) (cos.f64 th)) (pow.f64 a2 2))) (.f64 (pow.f64 1/4 1/4) (.f64 (pow.f64 a1 2) (cos.f64 th))))))
(.f64 (pow.f64 1/4 1/4) (.f64 (pow.f64 a2 2) (cos.f64 th)))
(+.f64 (.f64 (pow.f64 1/4 1/4) (.f64 (pow.f64 a2 2) (cos.f64 th))) (.f64 (pow.f64 1/4 1/4) (.f64 (pow.f64 a1 2) (cos.f64 th))))
(+.f64 (.f64 (pow.f64 1/4 1/4) (.f64 (pow.f64 a2 2) (cos.f64 th))) (+.f64 (.f64 (pow.f64 1/4 1/4) (/.f64 (.f64 (+.f64 (.f64 -1/4 (pow.f64 a1 4)) (.f64 1/4 (pow.f64 a1 4))) (cos.f64 th)) (pow.f64 a2 2))) (.f64 (pow.f64 1/4 1/4) (.f64 (pow.f64 a1 2) (cos.f64 th)))))
(+.f64 (.f64 (pow.f64 1/4 1/4) (.f64 (pow.f64 a2 2) (cos.f64 th))) (+.f64 (.f64 (pow.f64 1/4 1/4) (/.f64 (.f64 (+.f64 (.f64 1/8 (pow.f64 a1 6)) (.f64 -1/8 (pow.f64 a1 6))) (cos.f64 th)) (pow.f64 a2 4))) (+.f64 (.f64 (pow.f64 1/4 1/4) (/.f64 (.f64 (+.f64 (.f64 -1/4 (pow.f64 a1 4)) (.f64 1/4 (pow.f64 a1 4))) (cos.f64 th)) (pow.f64 a2 2))) (.f64 (pow.f64 1/4 1/4) (.f64 (pow.f64 a1 2) (cos.f64 th))))))
(.f64 (pow.f64 1/4 1/4) (.f64 (pow.f64 a2 2) (cos.f64 th)))
(+.f64 (.f64 (pow.f64 1/4 1/4) (.f64 (pow.f64 a2 2) (cos.f64 th))) (.f64 (pow.f64 1/4 1/4) (.f64 (pow.f64 a1 2) (cos.f64 th))))
(+.f64 (.f64 (pow.f64 1/4 1/4) (.f64 (pow.f64 a2 2) (cos.f64 th))) (+.f64 (.f64 (pow.f64 1/4 1/4) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (.f64 (+.f64 (.f64 -1 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 a2 3)) 2) (.f64 1/16 (/.f64 1 (pow.f64 a2 6))))) (.f64 5/64 (/.f64 1 (pow.f64 a2 6)))) (.f64 (pow.f64 a1 8) (cos.f64 th))) (pow.f64 1/4 1/4))))
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(cbrt.f64 (.f64 (pow.f64 (cos.f64 th) 3) (pow.f64 (.f64 (sqrt.f64 1/2) (*.f64 a2 a2)) 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 1/2) (*.f64 a2 a2)) 3) (pow.f64 (cos.f64 th) 3)))
(expm1.f64 (log1p.f64 (.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))))
(exp.f64 (log.f64 (.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (.f64 a2 a2)))) 1))
(log1p.f64 (expm1.f64 (.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 1/2) (.f64 a2 a2)))) 1)
(.f64 a2 (.f64 a2 (sqrt.f64 1/2)))
(.f64 1 (.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
(.f64 (.f64 a2 (sqrt.f64 1/2)) a2)
(.f64 (.f64 (sqrt.f64 1/2) (*.f64 a2 a2)) 1)
(.f64 (cbrt.f64 (.f64 (sqrt.f64 1/2) (.f64 a2 a2))) (cbrt.f64 (.f64 (pow.f64 a2 4) 1/2)))
(.f64 (cbrt.f64 (.f64 (pow.f64 a2 4) 1/2)) (cbrt.f64 (.f64 (sqrt.f64 1/2) (.f64 a2 a2))))
(.f64 (cbrt.f64 (.f64 (.f64 a2 a2) 1/2)) (.f64 (cbrt.f64 (*.f64 a2 (sqrt.f64 1/2))) a2))
(.f64 (cbrt.f64 1/2) (.f64 (cbrt.f64 (sqrt.f64 1/2)) (*.f64 a2 a2)))
(.f64 (pow.f64 (cbrt.f64 a2) 2) (.f64 (cbrt.f64 a2) (*.f64 a2 (sqrt.f64 1/2))))
(.f64 (cbrt.f64 (pow.f64 a2 4)) (.f64 (pow.f64 (cbrt.f64 a2) 2) (sqrt.f64 1/2)))
(*.f64 (/.f64 a2 (pow.f64 2 1/4)) (/.f64 a2 (pow.f64 2 1/4)))
(.f64 (sqrt.f64 (.f64 a2 (sqrt.f64 1/2))) (.f64 (sqrt.f64 (.f64 a2 (sqrt.f64 1/2))) a2))
(.f64 (sqrt.f64 a2) (.f64 (sqrt.f64 a2) (*.f64 a2 (sqrt.f64 1/2))))
(.f64 (.f64 a2 (neg.f64 a2)) (/.f64 1 (neg.f64 (sqrt.f64 2))))
(.f64 (pow.f64 2 -1/4) (/.f64 (.f64 a2 a2) (pow.f64 2 1/4)))
(.f64 (pow.f64 2 -1/4) (.f64 (pow.f64 2 -1/4) (*.f64 a2 a2)))
(.f64 (/.f64 a2 1) (.f64 a2 (sqrt.f64 1/2)))
(*.f64 (/.f64 a2 (cbrt.f64 2)) (/.f64 a2 (cbrt.f64 (sqrt.f64 2))))
(.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (.f64 a2 a2) (cbrt.f64 (sqrt.f64 2))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 a2 4)) 1) (/.f64 (pow.f64 (cbrt.f64 a2) 2) (sqrt.f64 2)))
(.f64 (/.f64 (cbrt.f64 (pow.f64 a2 4)) (cbrt.f64 2)) (cbrt.f64 (.f64 (sqrt.f64 1/2) (*.f64 a2 a2))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 a2 4)) (pow.f64 2 1/4)) (/.f64 (pow.f64 (cbrt.f64 a2) 2) (pow.f64 2 1/4)))
(.f64 (.f64 (pow.f64 2 -1/4) a2) (*.f64 (pow.f64 2 -1/4) a2))
(.f64 (.f64 a2 (cbrt.f64 (.f64 (.f64 a2 a2) 1/2))) (cbrt.f64 (*.f64 a2 (sqrt.f64 1/2))))
(.f64 (.f64 a2 (sqrt.f64 (.f64 a2 (sqrt.f64 1/2)))) (sqrt.f64 (.f64 a2 (sqrt.f64 1/2))))
(.f64 (.f64 (*.f64 a2 a2) (cbrt.f64 1/2)) (cbrt.f64 (sqrt.f64 1/2)))
(.f64 (.f64 (*.f64 a2 a2) (pow.f64 2 -1/4)) (pow.f64 2 -1/4))
(.f64 (.f64 (*.f64 a2 (sqrt.f64 1/2)) (pow.f64 (cbrt.f64 a2) 2)) (cbrt.f64 a2))
(.f64 (.f64 (*.f64 a2 (sqrt.f64 1/2)) (sqrt.f64 a2)) (sqrt.f64 a2))
(.f64 (.f64 (sqrt.f64 1/2) (cbrt.f64 (pow.f64 a2 4))) (pow.f64 (cbrt.f64 a2) 2))
(pow.f64 (.f64 (sqrt.f64 1/2) (.f64 a2 a2)) 1)
(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 1/2) (.f64 a2 a2))) 3)
(pow.f64 (pow.f64 (.f64 (sqrt.f64 1/2) (.f64 a2 a2)) 3) 1/3)
(pow.f64 (/.f64 a2 (pow.f64 2 1/4)) 2)
(pow.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)) -1)
(neg.f64 (/.f64 (*.f64 a2 a2) (neg.f64 (sqrt.f64 2))))
(sqrt.f64 (*.f64 (pow.f64 a2 4) 1/2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 a2) (sqrt.f64 1/2)) a2))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (sqrt.f64 1/2) (.f64 a2 a2)))))
(cbrt.f64 (pow.f64 (.f64 (sqrt.f64 1/2) (.f64 a2 a2)) 3))
(cbrt.f64 (.f64 (pow.f64 a2 3) (pow.f64 (.f64 a2 (sqrt.f64 1/2)) 3)))
(cbrt.f64 (*.f64 (pow.f64 a2 6) (/.f64 1/2 (sqrt.f64 2))))
(cbrt.f64 (.f64 (pow.f64 (.f64 a2 (sqrt.f64 1/2)) 3) (pow.f64 a2 3)))
(cbrt.f64 (*.f64 (/.f64 1/2 (sqrt.f64 2)) (pow.f64 a2 6)))
(cbrt.f64 (/.f64 (pow.f64 a2 6) (*.f64 2 (sqrt.f64 2))))
(expm1.f64 (log1p.f64 (.f64 (sqrt.f64 1/2) (.f64 a2 a2))))
(exp.f64 (log.f64 (.f64 (sqrt.f64 1/2) (.f64 a2 a2))))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 1/2) (*.f64 a2 a2))) 1))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 1/2)) (*.f64 2 (log.f64 a2))))
(log1p.f64 (expm1.f64 (.f64 (sqrt.f64 1/2) (.f64 a2 a2))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (*.f64 a2 a2))))) 1)
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(/.f64 1 (/.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (.f64 a2 a2))))
(/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (*.f64 (cos.f64 th) a2) (/.f64 (sqrt.f64 2) a2))
(/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (sqrt.f64 2))
(/.f64 (neg.f64 (.f64 (cos.f64 th) (.f64 a2 a2))) (neg.f64 (sqrt.f64 2)))
(/.f64 (.f64 (cos.f64 th) (.f64 a2 (neg.f64 a2))) (neg.f64 (sqrt.f64 2)))
(/.f64 (.f64 (neg.f64 a2) (.f64 (cos.f64 th) a2)) (neg.f64 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 a2 (neg.f64 a2)) (cos.f64 th)) (neg.f64 (sqrt.f64 2)))
(/.f64 (/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) 1) (sqrt.f64 2))
(/.f64 (/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (pow.f64 2 1/4)) (pow.f64 2 1/4))
(pow.f64 (.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (*.f64 a2 a2))) 1)
(pow.f64 (cbrt.f64 (.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))) 3)
(pow.f64 (pow.f64 (.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (*.f64 a2 a2))) 3) 1/3)
(pow.f64 (*.f64 (/.f64 a2 (pow.f64 2 1/4)) (sqrt.f64 (cos.f64 th))) 2)
(sqrt.f64 (.f64 (.f64 (pow.f64 a2 4) 1/2) (pow.f64 (cos.f64 th) 2)))
(log.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 a2) (sqrt.f64 1/2)) a2) (cos.f64 th)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (*.f64 a2 a2))))))
(cbrt.f64 (pow.f64 (.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (*.f64 a2 a2))) 3))
(cbrt.f64 (.f64 (pow.f64 (cos.f64 th) 3) (pow.f64 (.f64 (sqrt.f64 1/2) (*.f64 a2 a2)) 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 1/2) (*.f64 a2 a2)) 3) (pow.f64 (cos.f64 th) 3)))
(expm1.f64 (log1p.f64 (.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))))
(exp.f64 (log.f64 (.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (.f64 a2 a2)))) 1))
(log1p.f64 (expm1.f64 (.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 a2 a2)) (.f64 a1 (.f64 a1 (sqrt.f64 1/2))))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 a2 a2)) (.f64 (.f64 a1 (*.f64 a1 (sqrt.f64 1/2))) 1))
(+.f64 (.f64 a1 (.f64 a1 (sqrt.f64 1/2))) (.f64 (sqrt.f64 1/2) (.f64 a2 a2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 (hypot.f64 a2 a1) 2)))) 1)
(.f64 (hypot.f64 a2 a1) (.f64 (hypot.f64 a2 a1) (sqrt.f64 1/2)))
(.f64 1 (.f64 (sqrt.f64 1/2) (pow.f64 (hypot.f64 a2 a1) 2)))
(*.f64 (sqrt.f64 1/2) (pow.f64 (hypot.f64 a2 a1) 2))
(*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 1/2))
(.f64 (.f64 (sqrt.f64 1/2) (pow.f64 (hypot.f64 a2 a1) 2)) 1)
(.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 4)) (.f64 (pow.f64 (cbrt.f64 (hypot.f64 a2 a1)) 2) (sqrt.f64 1/2)))
(.f64 (cbrt.f64 1/2) (.f64 (cbrt.f64 (sqrt.f64 1/2)) (pow.f64 (hypot.f64 a2 a1) 2)))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 1/2) (pow.f64 (hypot.f64 a2 a1) 2))) (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 4) 1/2)))
(.f64 (cbrt.f64 (.f64 (pow.f64 (hypot.f64 a2 a1) 4) 1/2)) (cbrt.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 (hypot.f64 a2 a1) 2))))
(.f64 (.f64 (hypot.f64 a2 a1) (pow.f64 2 -1/4)) (*.f64 (hypot.f64 a2 a1) (pow.f64 2 -1/4)))
(*.f64 (neg.f64 (pow.f64 (hypot.f64 a2 a1) 2)) (/.f64 1 (neg.f64 (sqrt.f64 2))))
(*.f64 (pow.f64 2 -1/4) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (pow.f64 2 1/4)))
(.f64 (pow.f64 2 -1/4) (.f64 (pow.f64 2 -1/4) (pow.f64 (hypot.f64 a2 a1) 2)))
(*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cbrt.f64 (sqrt.f64 2))))
(*.f64 (/.f64 (hypot.f64 a2 a1) 1) (/.f64 (hypot.f64 a2 a1) (sqrt.f64 2)))
(*.f64 (/.f64 (hypot.f64 a2 a1) (cbrt.f64 2)) (/.f64 (hypot.f64 a2 a1) (cbrt.f64 (sqrt.f64 2))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 4)) 1) (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 a2 a1)) 2) (sqrt.f64 2)))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 4)) (cbrt.f64 2)) (cbrt.f64 (.f64 (sqrt.f64 1/2) (pow.f64 (hypot.f64 a2 a1) 2))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 4)) (pow.f64 2 1/4)) (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 a2 a1)) 2) (pow.f64 2 1/4)))
(.f64 (.f64 (sqrt.f64 1/2) (hypot.f64 a2 a1)) (hypot.f64 a2 a1))
(.f64 (.f64 (sqrt.f64 1/2) (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 4))) (pow.f64 (cbrt.f64 (hypot.f64 a2 a1)) 2))
(.f64 (.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cbrt.f64 1/2)) (cbrt.f64 (sqrt.f64 1/2)))
(.f64 (.f64 (pow.f64 (hypot.f64 a2 a1) 2) (pow.f64 2 -1/4)) (pow.f64 2 -1/4))
(pow.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 (hypot.f64 a2 a1) 2)) 1)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 (hypot.f64 a2 a1) 2))) 3)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 (hypot.f64 a2 a1) 2)) 3) 1/3)
(pow.f64 (*.f64 (hypot.f64 a2 a1) (pow.f64 2 -1/4)) 2)
(pow.f64 (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a2 a1) 2)) -1)
(neg.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (neg.f64 (sqrt.f64 2))))
(sqrt.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 4) 1/2))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) (pow.f64 (hypot.f64 a2 a1) 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 (hypot.f64 a2 a1) 2)))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 (hypot.f64 a2 a1) 2)) 3))
(cbrt.f64 (*.f64 (/.f64 1/2 (sqrt.f64 2)) (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 3)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 3) (/.f64 1/2 (sqrt.f64 2))))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 3) (*.f64 2 (sqrt.f64 2))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 (hypot.f64 a2 a1) 2))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 (hypot.f64 a2 a1) 2))))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 1/2) (pow.f64 (hypot.f64 a2 a1) 2))) 1))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 (hypot.f64 a2 a1) 2))))
(fma.f64 a2 (.f64 a2 (sqrt.f64 1/2)) (.f64 a1 (*.f64 a1 (sqrt.f64 1/2))))
(fma.f64 1 (.f64 (sqrt.f64 1/2) (.f64 a2 a2)) (.f64 a1 (.f64 a1 (sqrt.f64 1/2))))
(fma.f64 (sqrt.f64 1/2) (.f64 a2 a2) (.f64 a1 (*.f64 a1 (sqrt.f64 1/2))))
(fma.f64 (.f64 a2 a2) (sqrt.f64 1/2) (.f64 a1 (*.f64 a1 (sqrt.f64 1/2))))
(fma.f64 (.f64 a2 (sqrt.f64 1/2)) a2 (.f64 a1 (*.f64 a1 (sqrt.f64 1/2))))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 a2 4) 1/2)) (cbrt.f64 (.f64 (sqrt.f64 1/2) (.f64 a2 a2))) (.f64 a1 (*.f64 a1 (sqrt.f64 1/2))))
(fma.f64 (/.f64 a2 (pow.f64 2 1/4)) (/.f64 a2 (pow.f64 2 1/4)) (.f64 a1 (.f64 a1 (sqrt.f64 1/2))))

Outputs
(*.f64 (pow.f64 1/4 1/4) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))
(.f64 (pow.f64 1/4 1/4) (fma.f64 a2 a2 (.f64 a1 a1)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 1/4 1/4) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)))) (.f64 (pow.f64 1/4 1/4) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))
(fma.f64 -1/2 (.f64 (pow.f64 1/4 1/4) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 th th))) (.f64 (pow.f64 1/4 1/4) (fma.f64 a2 a2 (.f64 a1 a1))))
(fma.f64 (pow.f64 1/4 1/4) (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 (.f64 -1/2 (pow.f64 1/4 1/4)) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 th th))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 1/4 1/4) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 1/4 1/4) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)))) (*.f64 (pow.f64 1/4 1/4) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))))
(fma.f64 1/24 (.f64 (pow.f64 1/4 1/4) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (pow.f64 th 4))) (fma.f64 -1/2 (.f64 (pow.f64 1/4 1/4) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 th th))) (.f64 (pow.f64 1/4 1/4) (fma.f64 a2 a2 (*.f64 a1 a1)))))
(fma.f64 1/24 (.f64 (pow.f64 1/4 1/4) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (pow.f64 th 4))) (fma.f64 (pow.f64 1/4 1/4) (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 (.f64 -1/2 (pow.f64 1/4 1/4)) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (*.f64 th th)))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 1/4 1/4) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 1/4 1/4) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)))) (+.f64 (.f64 -1/720 (.f64 (pow.f64 1/4 1/4) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 6)))) (.f64 (pow.f64 1/4 1/4) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))))
(fma.f64 1/24 (.f64 (pow.f64 1/4 1/4) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (pow.f64 th 4))) (fma.f64 -1/2 (.f64 (pow.f64 1/4 1/4) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 th th))) (fma.f64 -1/720 (.f64 (pow.f64 1/4 1/4) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (pow.f64 th 6))) (.f64 (pow.f64 1/4 1/4) (fma.f64 a2 a2 (.f64 a1 a1))))))
(fma.f64 1/24 (.f64 (pow.f64 1/4 1/4) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (pow.f64 th 4))) (fma.f64 -1/2 (.f64 (pow.f64 1/4 1/4) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 th th))) (fma.f64 (pow.f64 1/4 1/4) (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 (.f64 -1/720 (pow.f64 1/4 1/4)) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (pow.f64 th 6))))))
(.f64 (pow.f64 1/4 1/4) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (pow.f64 1/4 1/4) (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(.f64 (pow.f64 1/4 1/4) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (pow.f64 1/4 1/4) (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(.f64 (pow.f64 1/4 1/4) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (pow.f64 1/4 1/4) (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(.f64 (pow.f64 1/4 1/4) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (pow.f64 1/4 1/4) (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(.f64 (pow.f64 1/4 1/4) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (pow.f64 1/4 1/4) (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(.f64 (pow.f64 1/4 1/4) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (pow.f64 1/4 1/4) (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(.f64 (pow.f64 1/4 1/4) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
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(sqrt.f64 (*.f64 1/2 (pow.f64 (hypot.f64 a2 a1) 4)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) (pow.f64 (hypot.f64 a2 a1) 2)))
(*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 1/2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 (hypot.f64 a2 a1) 2)))))
(*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 1/2))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 (hypot.f64 a2 a1) 2)) 3))
(*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 1/2))
(cbrt.f64 (*.f64 (/.f64 1/2 (sqrt.f64 2)) (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 3)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 3) (/.f64 1/2 (sqrt.f64 2))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 3) (/.f64 1/2 (sqrt.f64 2))))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 3) (*.f64 2 (sqrt.f64 2))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 (hypot.f64 a2 a1) 2))))
(*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 1/2))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 (hypot.f64 a2 a1) 2))))
(*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 1/2))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 1/2) (pow.f64 (hypot.f64 a2 a1) 2))) 1))
(*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 1/2))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 (hypot.f64 a2 a1) 2))))
(*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 1/2))
(fma.f64 a2 (.f64 a2 (sqrt.f64 1/2)) (.f64 a1 (*.f64 a1 (sqrt.f64 1/2))))
(.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (.f64 a1 a1)))
(fma.f64 1 (.f64 (sqrt.f64 1/2) (.f64 a2 a2)) (.f64 a1 (.f64 a1 (sqrt.f64 1/2))))
(fma.f64 a2 (.f64 a2 (sqrt.f64 1/2)) (.f64 a1 (*.f64 a1 (sqrt.f64 1/2))))
(.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (.f64 a1 a1)))
(fma.f64 (sqrt.f64 1/2) (.f64 a2 a2) (.f64 a1 (*.f64 a1 (sqrt.f64 1/2))))
(fma.f64 a2 (.f64 a2 (sqrt.f64 1/2)) (.f64 a1 (*.f64 a1 (sqrt.f64 1/2))))
(.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (.f64 a1 a1)))
(fma.f64 (.f64 a2 a2) (sqrt.f64 1/2) (.f64 a1 (*.f64 a1 (sqrt.f64 1/2))))
(fma.f64 a2 (.f64 a2 (sqrt.f64 1/2)) (.f64 a1 (*.f64 a1 (sqrt.f64 1/2))))
(.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (.f64 a1 a1)))
(fma.f64 (.f64 a2 (sqrt.f64 1/2)) a2 (.f64 a1 (*.f64 a1 (sqrt.f64 1/2))))
(fma.f64 a2 (.f64 a2 (sqrt.f64 1/2)) (.f64 a1 (*.f64 a1 (sqrt.f64 1/2))))
(.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (.f64 a1 a1)))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 a2 4) 1/2)) (cbrt.f64 (.f64 (sqrt.f64 1/2) (.f64 a2 a2))) (.f64 a1 (*.f64 a1 (sqrt.f64 1/2))))
(fma.f64 (cbrt.f64 (.f64 1/2 (pow.f64 a2 4))) (cbrt.f64 (.f64 (sqrt.f64 1/2) (.f64 a2 a2))) (.f64 a1 (*.f64 a1 (sqrt.f64 1/2))))
(fma.f64 (/.f64 a2 (pow.f64 2 1/4)) (/.f64 a2 (pow.f64 2 1/4)) (.f64 a1 (.f64 a1 (sqrt.f64 1/2))))
(+.f64 (pow.f64 (/.f64 a2 (pow.f64 2 1/4)) 2) (.f64 a1 (.f64 a1 (sqrt.f64 1/2))))
(+.f64 (/.f64 (.f64 a2 a2) (pow.f64 2 1/2)) (.f64 a1 (*.f64 a1 (sqrt.f64 1/2))))

eval640.0ms (3.5%)

Compiler: Compiled 21794 to 14510 computations (33.4% saved)

prune233.0ms (1.3%)

Pruning

19 alts after pruning (16 fresh and 3 done)

	Pruned	Kept	Total
New	942	12	954
Fresh	3	4	7
Picked	3	2	5
Done	0	1	1
Total	948	19	967

Accuracy

100.0%

Counts

967 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	63.1%	(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2))
	98.9%	(/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (sqrt.f64 2))
▶	98.9%	(/.f64 (*.f64 (cos.f64 th) a2) (/.f64 (sqrt.f64 2) a2))
	10.1%	(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
	99.0%	(.f64 (pow.f64 1/4 1/4) (.f64 (cos.f64 th) (*.f64 a2 a2)))
▶	66.6%	(.f64 (/.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
	66.4%	(.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (+.f64 1 (.f64 -1/2 (.f64 th th))))
✓	98.9%	(.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))
▶	62.8%	(.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) 1)
✓	99.5%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
	98.8%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))
▶	62.9%	(*.f64 (/.f64 a2 (sqrt.f64 2)) a2)
	62.8%	(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2))
	10.1%	(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a1 a1))
▶	99.6%	(.f64 (.f64 (pow.f64 2 -1/2) (cos.f64 th)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
	66.4%	(.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) a2) (+.f64 1 (.f64 -1/2 (.f64 th th))))
	98.9%	(.f64 (.f64 (*.f64 (sqrt.f64 1/2) a2) a2) (cos.f64 th))
	98.9%	(.f64 (.f64 (*.f64 a2 a2) (sqrt.f64 1/2)) (cos.f64 th))
	63.1%	(.f64 (sqrt.f64 1/2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
✓	63.1%	(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2))
	98.9%	(/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (sqrt.f64 2))
▶	98.9%	(/.f64 (*.f64 (cos.f64 th) a2) (/.f64 (sqrt.f64 2) a2))
	10.1%	(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
	99.0%	(.f64 (pow.f64 1/4 1/4) (.f64 (cos.f64 th) (*.f64 a2 a2)))
▶	66.6%	(.f64 (/.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
	66.4%	(.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (+.f64 1 (.f64 -1/2 (.f64 th th))))
✓	98.9%	(.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))
▶	62.8%	(.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) 1)
✓	99.5%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
	98.8%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))
▶	62.9%	(*.f64 (/.f64 a2 (sqrt.f64 2)) a2)
	62.8%	(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2))
	10.1%	(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a1 a1))
▶	99.6%	(.f64 (.f64 (pow.f64 2 -1/2) (cos.f64 th)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
	66.4%	(.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) a2) (+.f64 1 (.f64 -1/2 (.f64 th th))))
	98.9%	(.f64 (.f64 (*.f64 (sqrt.f64 1/2) a2) a2) (cos.f64 th))
	98.9%	(.f64 (.f64 (*.f64 a2 a2) (sqrt.f64 1/2)) (cos.f64 th))
	63.1%	(.f64 (sqrt.f64 1/2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))

Compiler

Compiled 916 to 688 computations (24.9% saved)

localize300.0ms (1.6%)

Localize:

Found 15 expressions with local error:

New	Accuracy	Program
	100.0%	(cos.f64 th)
✓	99.8%	(*.f64 (cos.f64 th) a2)
✓	99.8%	(/.f64 (*.f64 (cos.f64 th) a2) (/.f64 (sqrt.f64 2) a2))
✓	99.3%	(/.f64 (sqrt.f64 2) a2)
✓	100.0%	(.f64 -1/2 (.f64 th th))
	100.0%	(+.f64 (.f64 a2 a2) (.f64 a1 a1))
✓	99.0%	(/.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (sqrt.f64 2))
✓	96.8%	(.f64 (/.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
	99.6%	(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
	99.8%	(*.f64 (/.f64 a2 (sqrt.f64 2)) a2)
	99.3%	(/.f64 a2 (sqrt.f64 2))
	100.0%	(cos.f64 th)
	100.0%	(+.f64 (.f64 a2 a2) (.f64 a1 a1))
✓	99.6%	(.f64 (.f64 (pow.f64 2 -1/2) (cos.f64 th)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
✓	99.6%	(*.f64 (pow.f64 2 -1/2) (cos.f64 th))

Compiler

Compiled 171 to 82 computations (52% saved)

series14.0ms (0.1%)

Counts

8 → 140

Calls

42 calls:

Time	Variable		Point	Expression
1.0ms	a2	@	0	(.f64 (/.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
1.0ms	th	@	inf	(.f64 (/.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
1.0ms	a1	@	0	(.f64 (/.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
1.0ms	th	@	0	(.f64 (/.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
1.0ms	a2	@	inf	(.f64 (/.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))

rewrite215.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

930×	`expm1-udef`
560×	`add-sqr-sqrt`
546×	`pow1`
544×	`*-un-lft-identity`
518×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	194
1	552	178
2	7936	178

Stop Event

1×	node limit

Counts

8 → 237

Calls

Call 1

Inputs
(*.f64 (pow.f64 2 -1/2) (cos.f64 th))
(.f64 (.f64 (pow.f64 2 -1/2) (cos.f64 th)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
(.f64 (/.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(/.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (sqrt.f64 2))
(.f64 -1/2 (.f64 th th))
(/.f64 (sqrt.f64 2) a2)
(/.f64 (*.f64 (cos.f64 th) a2) (/.f64 (sqrt.f64 2) a2))
(*.f64 (cos.f64 th) a2)

Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))) 1)
(pow.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) 1)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) 3)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) 2)
(sqrt.f64 (*.f64 (pow.f64 (cos.f64 th) 2) 1/2))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) (cos.f64 th)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) 3))
(cbrt.f64 (.f64 (.f64 (sqrt.f64 1/2) 1/2) (pow.f64 (cos.f64 th) 3)))
(cbrt.f64 (.f64 (pow.f64 (cos.f64 th) 3) (.f64 (sqrt.f64 1/2) 1/2)))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th))) 1))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a2 a2))) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a1 a1))))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a1 a1))) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a2 a2))))
(+.f64 (.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a2 a2))) 1) (.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a1 a1))) 1))
(-.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))))) 1)
(/.f64 (+.f64 (pow.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a2 a2))) 3) (pow.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a1 a1))) 3)) (+.f64 (.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a2 a2))) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a2 a2)))) (-.f64 (.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a1 a1))) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a1 a1)))) (.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a2 a2))) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a1 a1)))))))
(/.f64 (-.f64 (.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a2 a2))) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a2 a2)))) (.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a1 a1))) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a1 a1))))) (-.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a2 a2))) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a1 a1)))))
(/.f64 (.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (+.f64 (pow.f64 a2 6) (pow.f64 a1 6))) (-.f64 (+.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (pow.f64 (*.f64 a2 a1) 2)))
(/.f64 (.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (-.f64 (pow.f64 a2 4) (pow.f64 a1 4))) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)))
(/.f64 (.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) (.f64 (sqrt.f64 1/2) (cos.f64 th))) (-.f64 (+.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (pow.f64 (*.f64 a2 a1) 2)))
(/.f64 (.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (.f64 (sqrt.f64 1/2) (cos.f64 th))) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)))
(pow.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))) 1)
(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)))) 3)
(pow.f64 (pow.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))) 3) 1/3)
(pow.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th))) (hypot.f64 a2 a1)) 2)
(sqrt.f64 (pow.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) (cos.f64 th)) (pow.f64 (hypot.f64 a2 a1) 2)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))))))
(cbrt.f64 (pow.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))) 3))
(cbrt.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) 3) (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 3)))
(cbrt.f64 (.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 3) (pow.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) 3)))
(expm1.f64 (log1p.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)))))
(exp.f64 (log.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)))))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)))) 1))
(log1p.f64 (expm1.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)))))
(fma.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (.f64 a2 a2) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a1 a1))))
(fma.f64 (.f64 a2 a2) (.f64 (sqrt.f64 1/2) (cos.f64 th)) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a1 a1))))
(+.f64 (.f64 a2 (.f64 a2 (.f64 (sqrt.f64 1/2) (fma.f64 -1/2 (.f64 th th) 1)))) (.f64 (fma.f64 -1/2 (.f64 th th) 1) (.f64 (sqrt.f64 1/2) (.f64 a1 a1))))
(+.f64 (.f64 (fma.f64 -1/2 (.f64 th th) 1) (.f64 (sqrt.f64 1/2) (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 (sqrt.f64 1/2) (fma.f64 -1/2 (.f64 th th) 1)))))
(+.f64 (.f64 (.f64 a2 (.f64 a2 (.f64 (sqrt.f64 1/2) (fma.f64 -1/2 (.f64 th th) 1)))) 1) (.f64 (.f64 (fma.f64 -1/2 (.f64 th th) 1) (.f64 (sqrt.f64 1/2) (.f64 a1 a1))) 1))
(-.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 (hypot.f64 a2 a1) 2) (.f64 (sqrt.f64 1/2) (fma.f64 -1/2 (*.f64 th th) 1))))) 1)
(/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (sqrt.f64 2) (fma.f64 -1/2 (*.f64 th th) 1)))
(/.f64 1 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 (hypot.f64 a2 a1) 2) (fma.f64 -1/2 (.f64 th th) 1))))
(/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a2 a1) 2)))
(/.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) (.f64 (/.f64 (sqrt.f64 2) (fma.f64 -1/2 (.f64 th th) 1)) (-.f64 (+.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (pow.f64 (*.f64 a2 a1) 2))))
(/.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (.f64 (/.f64 (sqrt.f64 2) (fma.f64 -1/2 (.f64 th th) 1)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))))
(/.f64 (.f64 (pow.f64 (hypot.f64 a2 a1) 2) (fma.f64 -1/2 (.f64 th th) 1)) (sqrt.f64 2))
(/.f64 (.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) 1) (.f64 (-.f64 (+.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (pow.f64 (.f64 a2 a1) 2)) (/.f64 (sqrt.f64 2) (fma.f64 -1/2 (.f64 th th) 1))))
(/.f64 (.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) (fma.f64 -1/2 (.f64 th th) 1)) (.f64 (-.f64 (+.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (pow.f64 (.f64 a2 a1) 2)) (sqrt.f64 2)))
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(.f64 (/.f64 1 (sqrt.f64 (/.f64 (sqrt.f64 2) a2))) (/.f64 (.f64 (cos.f64 th) a2) (sqrt.f64 (/.f64 (sqrt.f64 2) a2))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (.f64 (cos.f64 th) a2) 2)) 1) (/.f64 (cbrt.f64 (*.f64 (cos.f64 th) a2)) (/.f64 (sqrt.f64 2) a2)))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (.f64 (cos.f64 th) a2) 2)) (sqrt.f64 2)) (/.f64 (cbrt.f64 (*.f64 (cos.f64 th) a2)) (/.f64 1 a2)))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (.f64 (cos.f64 th) a2) 2)) (cbrt.f64 (/.f64 2 (.f64 a2 a2)))) (cbrt.f64 (.f64 a2 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a2)))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (.f64 (cos.f64 th) a2) 2)) (sqrt.f64 (/.f64 (sqrt.f64 2) a2))) (/.f64 (cbrt.f64 (*.f64 (cos.f64 th) a2)) (sqrt.f64 (/.f64 (sqrt.f64 2) a2))))
(.f64 (/.f64 (sqrt.f64 (.f64 (cos.f64 th) a2)) 1) (/.f64 (sqrt.f64 (*.f64 (cos.f64 th) a2)) (/.f64 (sqrt.f64 2) a2)))
(.f64 (/.f64 (sqrt.f64 (.f64 (cos.f64 th) a2)) (sqrt.f64 2)) (/.f64 (sqrt.f64 (*.f64 (cos.f64 th) a2)) (/.f64 1 a2)))
(.f64 (/.f64 (sqrt.f64 (.f64 (cos.f64 th) a2)) (cbrt.f64 (/.f64 2 (.f64 a2 a2)))) (/.f64 (sqrt.f64 (.f64 (cos.f64 th) a2)) (cbrt.f64 (/.f64 (sqrt.f64 2) a2))))
(.f64 (.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a2)) 1) a2)
(.f64 (.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a2)) (pow.f64 (cbrt.f64 a2) 2)) (cbrt.f64 a2))
(.f64 (.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a2)) (sqrt.f64 a2)) (sqrt.f64 a2))
(.f64 (/.f64 (.f64 (cos.f64 th) a2) 1) (*.f64 (sqrt.f64 1/2) a2))
(.f64 (/.f64 (.f64 (cos.f64 th) a2) (neg.f64 (sqrt.f64 2))) (neg.f64 a2))
(pow.f64 (*.f64 a2 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a2))) 1)
(pow.f64 (cbrt.f64 (*.f64 a2 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a2)))) 3)
(pow.f64 (pow.f64 (*.f64 a2 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a2))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 a2 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a2)))) 2)
(pow.f64 (/.f64 (/.f64 (sqrt.f64 2) a2) (*.f64 (cos.f64 th) a2)) -1)
(neg.f64 (/.f64 (*.f64 (cos.f64 th) a2) (/.f64 (neg.f64 (sqrt.f64 2)) a2)))
(sqrt.f64 (pow.f64 (*.f64 a2 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a2))) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 a2) (cos.f64 th)) (*.f64 (sqrt.f64 1/2) a2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 a2 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a2))))))
(cbrt.f64 (pow.f64 (*.f64 a2 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a2))) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 th) a2) 3) (pow.f64 (/.f64 (sqrt.f64 2) a2) 3)))
(expm1.f64 (log1p.f64 (*.f64 a2 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a2)))))
(exp.f64 (log.f64 (*.f64 a2 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a2)))))
(exp.f64 (.f64 (log.f64 (.f64 a2 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a2)))) 1))
(log1p.f64 (expm1.f64 (*.f64 a2 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) a2))) 1)
(pow.f64 (*.f64 (cos.f64 th) a2) 1)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 th) a2)) 3)
(pow.f64 (pow.f64 (*.f64 (cos.f64 th) a2) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 th) a2)) 2)
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 th) a2) 2))
(log.f64 (pow.f64 (exp.f64 a2) (cos.f64 th)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 th) a2))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 th) a2) 3))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 3) (pow.f64 a2 3)))
(cbrt.f64 (*.f64 (pow.f64 a2 3) (pow.f64 (cos.f64 th) 3)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 th) a2)))
(exp.f64 (log.f64 (*.f64 (cos.f64 th) a2)))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 th) a2)) 1))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 th) a2)))

simplify158.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1370×	`associate-r`
1258×	`associate-l`
870×	`associate-/l*`
740×	`times-frac`
462×	`fma-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	662	15217
1	1828	14333

Stop Event

1×	node limit

Counts

377 → 406

Calls

Call 1

Inputs
(sqrt.f64 1/2)
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 1/2) (pow.f64 th 2))) (sqrt.f64 1/2))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 1/2) (pow.f64 th 2))) (+.f64 (.f64 1/24 (.f64 (sqrt.f64 1/2) (pow.f64 th 4))) (sqrt.f64 1/2)))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 1/2) (pow.f64 th 2))) (+.f64 (.f64 1/24 (.f64 (sqrt.f64 1/2) (pow.f64 th 4))) (+.f64 (sqrt.f64 1/2) (.f64 -1/720 (.f64 (sqrt.f64 1/2) (pow.f64 th 6))))))
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
(*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)))) (.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))
(+.f64 (.f64 1/24 (.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)))) (*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))))
(+.f64 (.f64 1/24 (.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)))) (+.f64 (.f64 -1/720 (.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 6)))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)))) (.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th))))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th))))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th))))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th)))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th))))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th))))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th))))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th)))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th))))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th))))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th))))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th)))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th))))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th))))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th))))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th))))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th))))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th))))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th))))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th))))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th))))
(/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)) (sqrt.f64 2)))))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)) (sqrt.f64 2)))))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)) (sqrt.f64 2)))))
(.f64 -1/2 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)) (sqrt.f64 2)))))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)) (sqrt.f64 2)))))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)) (sqrt.f64 2)))))
(.f64 -1/2 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)) (sqrt.f64 2)))))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)) (sqrt.f64 2)))))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)) (sqrt.f64 2)))))
(/.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (pow.f64 a1 2)) (sqrt.f64 2))
(+.f64 (.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2))) (pow.f64 a2 2)) (/.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (pow.f64 a1 2)) (sqrt.f64 2)))
(+.f64 (.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2))) (pow.f64 a2 2)) (/.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (pow.f64 a1 2)) (sqrt.f64 2)))
(+.f64 (.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2))) (pow.f64 a2 2)) (/.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (pow.f64 a1 2)) (sqrt.f64 2)))
(/.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (pow.f64 a2 2)) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (pow.f64 a1 2)) (sqrt.f64 2)) (/.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (pow.f64 a2 2)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (pow.f64 a1 2)) (sqrt.f64 2)) (/.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (pow.f64 a2 2)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (pow.f64 a1 2)) (sqrt.f64 2)) (/.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (pow.f64 a2 2)) (sqrt.f64 2)))
(/.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (pow.f64 a2 2)) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (pow.f64 a1 2)) (sqrt.f64 2)) (/.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (pow.f64 a2 2)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (pow.f64 a1 2)) (sqrt.f64 2)) (/.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (pow.f64 a2 2)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (pow.f64 a1 2)) (sqrt.f64 2)) (/.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (pow.f64 a2 2)) (sqrt.f64 2)))
(/.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (pow.f64 a2 2)) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (pow.f64 a2 2)) (sqrt.f64 2)) (.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2))) (pow.f64 a1 2)))
(+.f64 (/.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (pow.f64 a2 2)) (sqrt.f64 2)) (.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2))) (pow.f64 a1 2)))
(+.f64 (/.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (pow.f64 a2 2)) (sqrt.f64 2)) (.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2))) (pow.f64 a1 2)))
(/.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (pow.f64 a1 2)) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (pow.f64 a1 2)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (pow.f64 a1 2)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (pow.f64 a1 2)) (sqrt.f64 2)))
(/.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (pow.f64 a1 2)) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (pow.f64 a1 2)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (pow.f64 a1 2)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (pow.f64 a1 2)) (sqrt.f64 2)))
(/.f64 1 (sqrt.f64 2))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2)))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2)))
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(*.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2)))
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(cbrt.f64 (.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 3) (pow.f64 (.f64 (sqrt.f64 1/2) (fma.f64 -1/2 (*.f64 th th) 1)) 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 1/2) (fma.f64 -1/2 (*.f64 th th) 1)) 3) (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 3)))
(expm1.f64 (log1p.f64 (.f64 (pow.f64 (hypot.f64 a2 a1) 2) (.f64 (sqrt.f64 1/2) (fma.f64 -1/2 (*.f64 th th) 1)))))
(exp.f64 (log.f64 (.f64 (pow.f64 (hypot.f64 a2 a1) 2) (.f64 (sqrt.f64 1/2) (fma.f64 -1/2 (*.f64 th th) 1)))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 (hypot.f64 a2 a1) 2) (.f64 (sqrt.f64 1/2) (fma.f64 -1/2 (.f64 th th) 1)))) 1))
(log1p.f64 (expm1.f64 (.f64 (pow.f64 (hypot.f64 a2 a1) 2) (.f64 (sqrt.f64 1/2) (fma.f64 -1/2 (*.f64 th th) 1)))))
(fma.f64 (.f64 a2 a2) (.f64 (sqrt.f64 1/2) (fma.f64 -1/2 (.f64 th th) 1)) (.f64 (fma.f64 -1/2 (.f64 th th) 1) (.f64 (sqrt.f64 1/2) (*.f64 a1 a1))))
(fma.f64 (.f64 (sqrt.f64 1/2) (fma.f64 -1/2 (.f64 th th) 1)) (.f64 a2 a2) (.f64 (fma.f64 -1/2 (.f64 th th) 1) (.f64 (sqrt.f64 1/2) (*.f64 a1 a1))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 1/2) (fma.f64 -1/2 (.f64 th th) 1)))) 1)
(.f64 (sqrt.f64 1/2) (fma.f64 -1/2 (.f64 th th) 1))
(.f64 1 (.f64 (sqrt.f64 1/2) (fma.f64 -1/2 (*.f64 th th) 1)))
(.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 1/2))
(.f64 (.f64 (sqrt.f64 1/2) (fma.f64 -1/2 (*.f64 th th) 1)) 1)
(.f64 (cbrt.f64 (.f64 (sqrt.f64 1/2) (fma.f64 -1/2 (.f64 th th) 1))) (cbrt.f64 (.f64 (pow.f64 (fma.f64 -1/2 (*.f64 th th) 1) 2) 1/2)))
(.f64 (cbrt.f64 (.f64 (pow.f64 (fma.f64 -1/2 (.f64 th th) 1) 2) 1/2)) (cbrt.f64 (.f64 (sqrt.f64 1/2) (fma.f64 -1/2 (*.f64 th th) 1))))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/2 (.f64 th th) 1) 2)) (.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 th th) 1)) (sqrt.f64 1/2)))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 1/2) (fma.f64 -1/2 (.f64 th th) 1))) (sqrt.f64 (.f64 (sqrt.f64 1/2) (fma.f64 -1/2 (*.f64 th th) 1))))
(.f64 (hypot.f64 1 (.f64 th (sqrt.f64 -1/2))) (.f64 (hypot.f64 1 (.f64 th (sqrt.f64 -1/2))) (sqrt.f64 1/2)))
(.f64 (neg.f64 (fma.f64 -1/2 (.f64 th th) 1)) (/.f64 1 (neg.f64 (sqrt.f64 2))))
(.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (cbrt.f64 (sqrt.f64 2))))
(.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (pow.f64 2 1/4)))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/2 (.f64 th th) 1) 2)) 1) (/.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 th th) 1)) (sqrt.f64 2)))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/2 (.f64 th th) 1) 2)) (cbrt.f64 2)) (cbrt.f64 (.f64 (sqrt.f64 1/2) (fma.f64 -1/2 (.f64 th th) 1))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/2 (.f64 th th) 1) 2)) (pow.f64 2 1/4)) (/.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 th th) 1)) (pow.f64 2 1/4)))
(.f64 (/.f64 (hypot.f64 1 (.f64 th (sqrt.f64 -1/2))) 1) (/.f64 (hypot.f64 1 (*.f64 th (sqrt.f64 -1/2))) (sqrt.f64 2)))
(.f64 (/.f64 (hypot.f64 1 (.f64 th (sqrt.f64 -1/2))) (cbrt.f64 2)) (/.f64 (hypot.f64 1 (*.f64 th (sqrt.f64 -1/2))) (cbrt.f64 (sqrt.f64 2))))
(pow.f64 (.f64 (sqrt.f64 1/2) (fma.f64 -1/2 (.f64 th th) 1)) 1)
(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 1/2) (fma.f64 -1/2 (.f64 th th) 1))) 3)
(pow.f64 (pow.f64 (.f64 (sqrt.f64 1/2) (fma.f64 -1/2 (.f64 th th) 1)) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 (sqrt.f64 1/2) (fma.f64 -1/2 (.f64 th th) 1))) 2)
(pow.f64 (/.f64 (sqrt.f64 2) (fma.f64 -1/2 (*.f64 th th) 1)) -1)
(neg.f64 (/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (neg.f64 (sqrt.f64 2))))
(sqrt.f64 (.f64 (pow.f64 (fma.f64 -1/2 (.f64 th th) 1) 2) 1/2))
(log.f64 (pow.f64 (exp.f64 (fma.f64 -1/2 (*.f64 th th) 1)) (sqrt.f64 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (sqrt.f64 1/2) (fma.f64 -1/2 (.f64 th th) 1)))))
(cbrt.f64 (pow.f64 (.f64 (sqrt.f64 1/2) (fma.f64 -1/2 (.f64 th th) 1)) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 -1/2 (.f64 th th) 1) 3) (.f64 2 (sqrt.f64 2))))
(expm1.f64 (log1p.f64 (.f64 (sqrt.f64 1/2) (fma.f64 -1/2 (.f64 th th) 1))))
(exp.f64 (log.f64 (.f64 (sqrt.f64 1/2) (fma.f64 -1/2 (.f64 th th) 1))))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 1/2) (fma.f64 -1/2 (*.f64 th th) 1))) 1))
(log1p.f64 (expm1.f64 (.f64 (sqrt.f64 1/2) (fma.f64 -1/2 (.f64 th th) 1))))
(-.f64 (fma.f64 -1/2 (*.f64 th th) 1) 1)
(pow.f64 (.f64 -1/2 (.f64 th th)) 1)
(pow.f64 (cbrt.f64 (.f64 -1/2 (.f64 th th))) 3)
(pow.f64 (.f64 (pow.f64 (.f64 th th) 3) -1/8) 1/3)
(pow.f64 (*.f64 th (sqrt.f64 -1/2)) 2)
(sqrt.f64 (*.f64 (pow.f64 th 4) 1/4))
(log.f64 (pow.f64 (pow.f64 (exp.f64 th) th) -1/2))
(log.f64 (+.f64 1 (expm1.f64 (.f64 -1/2 (.f64 th th)))))
(cbrt.f64 (.f64 (pow.f64 (.f64 th th) 3) -1/8))
(expm1.f64 (log1p.f64 (.f64 -1/2 (.f64 th th))))
(exp.f64 (log.f64 (.f64 -1/2 (.f64 th th))))
(exp.f64 (.f64 (log.f64 (.f64 -1/2 (*.f64 th th))) 1))
(log1p.f64 (expm1.f64 (.f64 -1/2 (.f64 th th))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 2) a2))) 1)
(*.f64 1 (/.f64 (sqrt.f64 2) a2))
(*.f64 (sqrt.f64 2) (/.f64 1 a2))
(*.f64 (/.f64 (sqrt.f64 2) a2) 1)
(.f64 (cbrt.f64 2) (.f64 (cbrt.f64 (sqrt.f64 2)) (/.f64 1 a2)))
(.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) a2)) (cbrt.f64 (/.f64 2 (.f64 a2 a2))))
(.f64 (cbrt.f64 (/.f64 2 (.f64 a2 a2))) (cbrt.f64 (/.f64 (sqrt.f64 2) a2)))
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) a2)) (sqrt.f64 (/.f64 (sqrt.f64 2) a2)))
(.f64 (pow.f64 2 1/4) (.f64 (pow.f64 2 1/4) (/.f64 1 a2)))
(*.f64 (neg.f64 (sqrt.f64 2)) (/.f64 1 (neg.f64 a2)))
(*.f64 (/.f64 1 a2) (sqrt.f64 2))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 a2) 2)) (/.f64 (sqrt.f64 2) (cbrt.f64 a2)))
(*.f64 (/.f64 1 (sqrt.f64 a2)) (/.f64 (sqrt.f64 2) (sqrt.f64 a2)))
(*.f64 (/.f64 (cbrt.f64 2) 1) (/.f64 (cbrt.f64 (sqrt.f64 2)) a2))
(*.f64 (/.f64 (pow.f64 2 1/4) 1) (/.f64 (pow.f64 2 1/4) a2))
(*.f64 (/.f64 (cbrt.f64 2) (pow.f64 (cbrt.f64 a2) 2)) (cbrt.f64 (/.f64 (sqrt.f64 2) a2)))
(*.f64 (/.f64 (cbrt.f64 2) (sqrt.f64 a2)) (/.f64 (cbrt.f64 (sqrt.f64 2)) (sqrt.f64 a2)))
(*.f64 (/.f64 (pow.f64 2 1/4) (pow.f64 (cbrt.f64 a2) 2)) (/.f64 (pow.f64 2 1/4) (cbrt.f64 a2)))
(pow.f64 (/.f64 (sqrt.f64 2) a2) 1)
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) a2)) 3)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 2) a2) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) a2)) 2)
(pow.f64 (*.f64 (sqrt.f64 1/2) a2) -1)
(neg.f64 (/.f64 (sqrt.f64 2) (neg.f64 a2)))
(sqrt.f64 (/.f64 2 (*.f64 a2 a2)))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 2) a2)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 2) a2))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 2) a2) 3))
(cbrt.f64 (/.f64 (*.f64 2 (sqrt.f64 2)) (pow.f64 a2 3)))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 2) a2)))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 2) a2)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 2) a2)) 1))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 2) a2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 a2 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a2))))) 1)
(.f64 (sqrt.f64 1/2) (/.f64 (.f64 (cos.f64 th) a2) (/.f64 1 a2)))
(.f64 (cos.f64 th) (.f64 a2 (*.f64 (sqrt.f64 1/2) a2)))
(.f64 (cos.f64 th) (/.f64 1 (/.f64 (sqrt.f64 2) (.f64 a2 a2))))
(*.f64 a2 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a2)))
(.f64 a2 (.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) a2)))
(.f64 1 (.f64 a2 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a2))))
(.f64 (.f64 (cos.f64 th) a2) (*.f64 (sqrt.f64 1/2) a2))
(.f64 (.f64 a2 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a2))) 1)
(.f64 (cbrt.f64 (pow.f64 (.f64 (cos.f64 th) a2) 2)) (.f64 (cbrt.f64 (.f64 (cos.f64 th) a2)) (*.f64 (sqrt.f64 1/2) a2)))
(.f64 (cbrt.f64 (.f64 a2 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a2)))) (cbrt.f64 (pow.f64 (*.f64 a2 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a2))) 2)))
(.f64 (cbrt.f64 (pow.f64 (.f64 a2 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a2))) 2)) (cbrt.f64 (*.f64 a2 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a2)))))
(.f64 (sqrt.f64 (.f64 (cos.f64 th) a2)) (.f64 (sqrt.f64 (.f64 (cos.f64 th) a2)) (*.f64 (sqrt.f64 1/2) a2)))
(.f64 (sqrt.f64 (.f64 a2 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a2)))) (sqrt.f64 (*.f64 a2 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a2)))))
(.f64 (.f64 (cos.f64 th) (neg.f64 a2)) (/.f64 1 (/.f64 (neg.f64 (sqrt.f64 2)) a2)))
(.f64 (.f64 (sqrt.f64 1/2) a2) (*.f64 (cos.f64 th) a2))
(.f64 (.f64 (sqrt.f64 1/2) a2) (/.f64 (cos.f64 th) (/.f64 1 a2)))
(*.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a2)) a2)
(*.f64 (/.f64 (cos.f64 th) 1) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 a2 (/.f64 1 a2)))
(.f64 (/.f64 (cos.f64 th) (cbrt.f64 (/.f64 2 (.f64 a2 a2)))) (/.f64 a2 (cbrt.f64 (/.f64 (sqrt.f64 2) a2))))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 (/.f64 (sqrt.f64 2) a2))) (/.f64 a2 (sqrt.f64 (/.f64 (sqrt.f64 2) a2))))
(*.f64 (/.f64 a2 (sqrt.f64 (/.f64 (sqrt.f64 2) a2))) (/.f64 (cos.f64 th) (sqrt.f64 (/.f64 (sqrt.f64 2) a2))))
(*.f64 (/.f64 a2 1) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a2)))
(.f64 (/.f64 a2 (cbrt.f64 (/.f64 2 (.f64 a2 a2)))) (/.f64 (cos.f64 th) (cbrt.f64 (/.f64 (sqrt.f64 2) a2))))
(.f64 (/.f64 1 (cbrt.f64 (/.f64 2 (.f64 a2 a2)))) (/.f64 (*.f64 (cos.f64 th) a2) (cbrt.f64 (/.f64 (sqrt.f64 2) a2))))
(.f64 (/.f64 1 (sqrt.f64 (/.f64 (sqrt.f64 2) a2))) (/.f64 (.f64 (cos.f64 th) a2) (sqrt.f64 (/.f64 (sqrt.f64 2) a2))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (.f64 (cos.f64 th) a2) 2)) 1) (/.f64 (cbrt.f64 (*.f64 (cos.f64 th) a2)) (/.f64 (sqrt.f64 2) a2)))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (.f64 (cos.f64 th) a2) 2)) (sqrt.f64 2)) (/.f64 (cbrt.f64 (*.f64 (cos.f64 th) a2)) (/.f64 1 a2)))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (.f64 (cos.f64 th) a2) 2)) (cbrt.f64 (/.f64 2 (.f64 a2 a2)))) (cbrt.f64 (.f64 a2 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a2)))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (.f64 (cos.f64 th) a2) 2)) (sqrt.f64 (/.f64 (sqrt.f64 2) a2))) (/.f64 (cbrt.f64 (*.f64 (cos.f64 th) a2)) (sqrt.f64 (/.f64 (sqrt.f64 2) a2))))
(.f64 (/.f64 (sqrt.f64 (.f64 (cos.f64 th) a2)) 1) (/.f64 (sqrt.f64 (*.f64 (cos.f64 th) a2)) (/.f64 (sqrt.f64 2) a2)))
(.f64 (/.f64 (sqrt.f64 (.f64 (cos.f64 th) a2)) (sqrt.f64 2)) (/.f64 (sqrt.f64 (*.f64 (cos.f64 th) a2)) (/.f64 1 a2)))
(.f64 (/.f64 (sqrt.f64 (.f64 (cos.f64 th) a2)) (cbrt.f64 (/.f64 2 (.f64 a2 a2)))) (/.f64 (sqrt.f64 (.f64 (cos.f64 th) a2)) (cbrt.f64 (/.f64 (sqrt.f64 2) a2))))
(.f64 (.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a2)) 1) a2)
(.f64 (.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a2)) (pow.f64 (cbrt.f64 a2) 2)) (cbrt.f64 a2))
(.f64 (.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a2)) (sqrt.f64 a2)) (sqrt.f64 a2))
(.f64 (/.f64 (.f64 (cos.f64 th) a2) 1) (*.f64 (sqrt.f64 1/2) a2))
(.f64 (/.f64 (.f64 (cos.f64 th) a2) (neg.f64 (sqrt.f64 2))) (neg.f64 a2))
(pow.f64 (*.f64 a2 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a2))) 1)
(pow.f64 (cbrt.f64 (*.f64 a2 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a2)))) 3)
(pow.f64 (pow.f64 (*.f64 a2 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a2))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 a2 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a2)))) 2)
(pow.f64 (/.f64 (/.f64 (sqrt.f64 2) a2) (*.f64 (cos.f64 th) a2)) -1)
(neg.f64 (/.f64 (*.f64 (cos.f64 th) a2) (/.f64 (neg.f64 (sqrt.f64 2)) a2)))
(sqrt.f64 (pow.f64 (*.f64 a2 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a2))) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 a2) (cos.f64 th)) (*.f64 (sqrt.f64 1/2) a2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 a2 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a2))))))
(cbrt.f64 (pow.f64 (*.f64 a2 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a2))) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 th) a2) 3) (pow.f64 (/.f64 (sqrt.f64 2) a2) 3)))
(expm1.f64 (log1p.f64 (*.f64 a2 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a2)))))
(exp.f64 (log.f64 (*.f64 a2 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a2)))))
(exp.f64 (.f64 (log.f64 (.f64 a2 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a2)))) 1))
(log1p.f64 (expm1.f64 (*.f64 a2 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) a2))) 1)
(pow.f64 (*.f64 (cos.f64 th) a2) 1)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 th) a2)) 3)
(pow.f64 (pow.f64 (*.f64 (cos.f64 th) a2) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 th) a2)) 2)
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 th) a2) 2))
(log.f64 (pow.f64 (exp.f64 a2) (cos.f64 th)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 th) a2))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 th) a2) 3))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 3) (pow.f64 a2 3)))
(cbrt.f64 (*.f64 (pow.f64 a2 3) (pow.f64 (cos.f64 th) 3)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 th) a2)))
(exp.f64 (log.f64 (*.f64 (cos.f64 th) a2)))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 th) a2)) 1))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 th) a2)))

Outputs
(sqrt.f64 1/2)
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 1/2) (pow.f64 th 2))) (sqrt.f64 1/2))
(fma.f64 -1/2 (.f64 (sqrt.f64 1/2) (.f64 th th)) (sqrt.f64 1/2))
(.f64 (sqrt.f64 1/2) (fma.f64 -1/2 (.f64 th th) 1))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 1/2) (pow.f64 th 2))) (+.f64 (.f64 1/24 (.f64 (sqrt.f64 1/2) (pow.f64 th 4))) (sqrt.f64 1/2)))
(fma.f64 -1/2 (.f64 (sqrt.f64 1/2) (.f64 th th)) (fma.f64 1/24 (*.f64 (sqrt.f64 1/2) (pow.f64 th 4)) (sqrt.f64 1/2)))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 th 4) 1/24)) (.f64 (sqrt.f64 1/2) (fma.f64 -1/2 (.f64 th th) 1)))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 1/2) (pow.f64 th 2))) (+.f64 (.f64 1/24 (.f64 (sqrt.f64 1/2) (pow.f64 th 4))) (+.f64 (sqrt.f64 1/2) (.f64 -1/720 (.f64 (sqrt.f64 1/2) (pow.f64 th 6))))))
(fma.f64 -1/2 (.f64 (sqrt.f64 1/2) (.f64 th th)) (+.f64 (fma.f64 1/24 (.f64 (sqrt.f64 1/2) (pow.f64 th 4)) (sqrt.f64 1/2)) (.f64 -1/720 (*.f64 (sqrt.f64 1/2) (pow.f64 th 6)))))
(fma.f64 -1/2 (.f64 (sqrt.f64 1/2) (.f64 th th)) (fma.f64 1/24 (.f64 (sqrt.f64 1/2) (pow.f64 th 4)) (fma.f64 -1/720 (.f64 (sqrt.f64 1/2) (pow.f64 th 6)) (sqrt.f64 1/2))))
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
(*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))
(.f64 (sqrt.f64 1/2) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (.f64 a1 a1)))
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(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
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(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
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(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
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(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
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(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(.f64 (cos.f64 th) (/.f64 (.f64 a2 a2) (sqrt.f64 2)))
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(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
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(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
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(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
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(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(.f64 (cos.f64 th) (/.f64 (.f64 a2 a2) (sqrt.f64 2)))
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(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
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(.f64 (cos.f64 th) (/.f64 (.f64 a2 a2) (sqrt.f64 2)))
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(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(.f64 (cos.f64 th) (/.f64 (.f64 a2 a2) (sqrt.f64 2)))
a2
(+.f64 (.f64 -1/2 (.f64 (pow.f64 th 2) a2)) a2)
(fma.f64 -1/2 (.f64 (.f64 th th) a2) a2)
(fma.f64 -1/2 (.f64 th (.f64 th a2)) a2)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 th 2) a2)) (+.f64 (.f64 1/24 (.f64 (pow.f64 th 4) a2)) a2))
(fma.f64 -1/2 (.f64 (.f64 th th) a2) (fma.f64 1/24 (*.f64 (pow.f64 th 4) a2) a2))
(fma.f64 -1/2 (.f64 th (.f64 th a2)) (fma.f64 1/24 (*.f64 (pow.f64 th 4) a2) a2))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 th 2) a2)) (+.f64 (.f64 1/24 (.f64 (pow.f64 th 4) a2)) (+.f64 (.f64 -1/720 (.f64 (pow.f64 th 6) a2)) a2)))
(fma.f64 -1/2 (.f64 (.f64 th th) a2) (fma.f64 1/24 (.f64 (pow.f64 th 4) a2) (fma.f64 -1/720 (.f64 (pow.f64 th 6) a2) a2)))
(fma.f64 -1/2 (.f64 th (.f64 th a2)) (fma.f64 1/24 (.f64 (pow.f64 th 4) a2) (fma.f64 -1/720 (.f64 (pow.f64 th 6) a2) a2)))
(*.f64 a2 (cos.f64 th))
(*.f64 (cos.f64 th) a2)
(*.f64 a2 (cos.f64 th))
(*.f64 (cos.f64 th) a2)
(*.f64 a2 (cos.f64 th))
(*.f64 (cos.f64 th) a2)
(*.f64 a2 (cos.f64 th))
(*.f64 (cos.f64 th) a2)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))) 1)
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
(pow.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) 1)
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) 3)
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) 3) 1/3)
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) 2)
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
(sqrt.f64 (*.f64 (pow.f64 (cos.f64 th) 2) 1/2))
(sqrt.f64 (*.f64 1/2 (pow.f64 (cos.f64 th) 2)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))))
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) 3))
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
(cbrt.f64 (.f64 (.f64 (sqrt.f64 1/2) 1/2) (pow.f64 (cos.f64 th) 3)))
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
(cbrt.f64 (.f64 (pow.f64 (cos.f64 th) 3) (.f64 (sqrt.f64 1/2) 1/2)))
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(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th))) 1))
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a2 a2))) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a1 a1))))
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(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))))) 1)
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(.f64 (/.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (+.f64 a2 a1)) (/.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (-.f64 a2 a1)))
(/.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (/.f64 (.f64 (+.f64 a2 a1) (-.f64 a2 a1)) (-.f64 (pow.f64 a2 4) (pow.f64 a1 4))))
(/.f64 (.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) (.f64 (sqrt.f64 1/2) (cos.f64 th))) (-.f64 (+.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (pow.f64 (*.f64 a2 a1) 2)))
(/.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (/.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a2 a1) 2))) (+.f64 (pow.f64 a2 6) (pow.f64 a1 6))))
(/.f64 (.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (.f64 (sqrt.f64 1/2) (cos.f64 th))) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)))
(.f64 (/.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (+.f64 a2 a1)) (/.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (-.f64 a2 a1)))
(/.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (/.f64 (.f64 (+.f64 a2 a1) (-.f64 a2 a1)) (-.f64 (pow.f64 a2 4) (pow.f64 a1 4))))
(pow.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))) 1)
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)))
(.f64 (cos.f64 th) (.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 1/2)))
(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)))) 3)
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)))
(.f64 (cos.f64 th) (.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 1/2)))
(pow.f64 (pow.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))) 3) 1/3)
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)))
(.f64 (cos.f64 th) (.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 1/2)))
(pow.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th))) (hypot.f64 a2 a1)) 2)
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)))
(.f64 (cos.f64 th) (.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 1/2)))
(sqrt.f64 (pow.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))) 2))
(fabs.f64 (.f64 (cos.f64 th) (.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 1/2))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) (cos.f64 th)) (pow.f64 (hypot.f64 a2 a1) 2)))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)))
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(log.f64 (+.f64 1 (expm1.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))))))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)))
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(exp.f64 (log.f64 (*.f64 a2 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a2)))))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(.f64 (cos.f64 th) (/.f64 (.f64 a2 a2) (sqrt.f64 2)))
(exp.f64 (.f64 (log.f64 (.f64 a2 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a2)))) 1))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(.f64 (cos.f64 th) (/.f64 (.f64 a2 a2) (sqrt.f64 2)))
(log1p.f64 (expm1.f64 (*.f64 a2 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a2)))))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(.f64 (cos.f64 th) (/.f64 (.f64 a2 a2) (sqrt.f64 2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) a2))) 1)
(*.f64 (cos.f64 th) a2)
(pow.f64 (*.f64 (cos.f64 th) a2) 1)
(*.f64 (cos.f64 th) a2)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 th) a2)) 3)
(*.f64 (cos.f64 th) a2)
(pow.f64 (pow.f64 (*.f64 (cos.f64 th) a2) 3) 1/3)
(*.f64 (cos.f64 th) a2)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 th) a2)) 2)
(*.f64 (cos.f64 th) a2)
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 th) a2) 2))
(fabs.f64 (*.f64 (cos.f64 th) a2))
(log.f64 (pow.f64 (exp.f64 a2) (cos.f64 th)))
(*.f64 (cos.f64 th) a2)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 th) a2))))
(*.f64 (cos.f64 th) a2)
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 th) a2) 3))
(*.f64 (cos.f64 th) a2)
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 3) (pow.f64 a2 3)))
(*.f64 (cos.f64 th) a2)
(cbrt.f64 (*.f64 (pow.f64 a2 3) (pow.f64 (cos.f64 th) 3)))
(*.f64 (cos.f64 th) a2)
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 th) a2)))
(*.f64 (cos.f64 th) a2)
(exp.f64 (log.f64 (*.f64 (cos.f64 th) a2)))
(*.f64 (cos.f64 th) a2)
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 th) a2)) 1))
(*.f64 (cos.f64 th) a2)
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 th) a2)))
(*.f64 (cos.f64 th) a2)

eval360.0ms (1.9%)

Compiler: Compiled 18365 to 10683 computations (41.8% saved)

prune212.0ms (1.1%)

Pruning

23 alts after pruning (19 fresh and 4 done)

	Pruned	Kept	Total
New	962	16	978
Fresh	8	3	11
Picked	3	2	5
Done	1	2	3
Total	974	23	997

Accuracy

100.0%

Counts

997 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	63.1%	(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2))
	66.4%	(/.f64 (.f64 (+.f64 1 (.f64 -1/2 (*.f64 th th))) a2) (/.f64 (sqrt.f64 2) a2))
	98.9%	(/.f64 (*.f64 (cos.f64 th) a2) (/.f64 (/.f64 1 a2) (sqrt.f64 1/2)))
✓	98.9%	(/.f64 (*.f64 (cos.f64 th) a2) (/.f64 (sqrt.f64 2) a2))
▶	62.8%	(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
	10.1%	(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
	62.8%	(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
	62.5%	(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
	66.3%	(.f64 (/.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (sqrt.f64 2)) (.f64 a2 a2))
	14.3%	(.f64 (/.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (sqrt.f64 2)) (.f64 a1 a1))
✓	98.9%	(.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))
✓	62.9%	(*.f64 (/.f64 a2 (sqrt.f64 2)) a2)
	10.1%	(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a1 a1))
▶	66.7%	(.f64 (.f64 (pow.f64 2 -1/2) (+.f64 1 (.f64 -1/2 (.f64 th th)))) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
▶	62.8%	(.f64 (.f64 (/.f64 1 (neg.f64 (sqrt.f64 2))) (neg.f64 a2)) a2)
▶	99.6%	(.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
	98.9%	(.f64 (.f64 (sqrt.f64 1/2) a2) (*.f64 (cos.f64 th) a2))
	62.8%	(.f64 (.f64 (sqrt.f64 1/2) a2) a2)
	63.1%	(.f64 (sqrt.f64 1/2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
	99.0%	(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a2 a2)))
▶	62.8%	(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
	98.9%	(.f64 a2 (.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) a2)))
	50.8%	(sqrt.f64 (*.f64 (pow.f64 a2 4) 1/2))
✓	63.1%	(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2))
	66.4%	(/.f64 (.f64 (+.f64 1 (.f64 -1/2 (*.f64 th th))) a2) (/.f64 (sqrt.f64 2) a2))
	98.9%	(/.f64 (*.f64 (cos.f64 th) a2) (/.f64 (/.f64 1 a2) (sqrt.f64 1/2)))
✓	98.9%	(/.f64 (*.f64 (cos.f64 th) a2) (/.f64 (sqrt.f64 2) a2))
▶	62.8%	(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
	10.1%	(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
	62.8%	(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
	62.5%	(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
	66.3%	(.f64 (/.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (sqrt.f64 2)) (.f64 a2 a2))
	14.3%	(.f64 (/.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (sqrt.f64 2)) (.f64 a1 a1))
✓	98.9%	(.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))
✓	62.9%	(*.f64 (/.f64 a2 (sqrt.f64 2)) a2)
	10.1%	(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a1 a1))
▶	66.7%	(.f64 (.f64 (pow.f64 2 -1/2) (+.f64 1 (.f64 -1/2 (.f64 th th)))) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
▶	62.8%	(.f64 (.f64 (/.f64 1 (neg.f64 (sqrt.f64 2))) (neg.f64 a2)) a2)
▶	99.6%	(.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
	98.9%	(.f64 (.f64 (sqrt.f64 1/2) a2) (*.f64 (cos.f64 th) a2))
	62.8%	(.f64 (.f64 (sqrt.f64 1/2) a2) a2)
	63.1%	(.f64 (sqrt.f64 1/2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
	99.0%	(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a2 a2)))
▶	62.8%	(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
	98.9%	(.f64 a2 (.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) a2)))
	50.8%	(sqrt.f64 (*.f64 (pow.f64 a2 4) 1/2))

Compiler

Compiled 1054 to 806 computations (23.5% saved)

localize245.0ms (1.3%)

Localize:

Found 13 expressions with local error:

New	Accuracy	Program
	100.0%	(.f64 -1/2 (.f64 th th))
	100.0%	(+.f64 (.f64 a2 a2) (.f64 a1 a1))
✓	99.8%	(.f64 (pow.f64 2 -1/2) (+.f64 1 (.f64 -1/2 (*.f64 th th))))
✓	96.8%	(.f64 (.f64 (pow.f64 2 -1/2) (+.f64 1 (.f64 -1/2 (.f64 th th)))) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
✓	99.8%	(.f64 (.f64 (/.f64 1 (neg.f64 (sqrt.f64 2))) (neg.f64 a2)) a2)
✓	99.3%	(*.f64 (/.f64 1 (neg.f64 (sqrt.f64 2))) (neg.f64 a2))
✓	98.4%	(/.f64 1 (neg.f64 (sqrt.f64 2)))
	99.6%	(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
✓	99.7%	(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
	100.0%	(cos.f64 th)
	100.0%	(+.f64 (.f64 a2 a2) (.f64 a1 a1))
✓	99.6%	(.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
✓	99.6%	(*.f64 (sqrt.f64 1/2) (cos.f64 th))

Compiler

Compiled 169 to 86 computations (49.1% saved)

series7.0ms (0%)

Counts

8 → 124

Calls

33 calls:

Time	Variable		Point	Expression
1.0ms	th	@	inf	(.f64 (.f64 (pow.f64 2 -1/2) (+.f64 1 (.f64 -1/2 (.f64 th th)))) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
1.0ms	a2	@	inf	(.f64 (.f64 (pow.f64 2 -1/2) (+.f64 1 (.f64 -1/2 (.f64 th th)))) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
0.0ms	a2	@	0	(.f64 (.f64 (pow.f64 2 -1/2) (+.f64 1 (.f64 -1/2 (.f64 th th)))) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
0.0ms	a2	@	inf	(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
0.0ms	a1	@	0	(.f64 (.f64 (pow.f64 2 -1/2) (+.f64 1 (.f64 -1/2 (.f64 th th)))) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))

rewrite123.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

644×	`add-sqr-sqrt`
626×	`pow1`
624×	`*-un-lft-identity`
618×	`associate-r`
592×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	198
1	649	198

Stop Event

1×	node limit

Counts

8 → 198

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
(.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(/.f64 1 (neg.f64 (sqrt.f64 2)))
(*.f64 (/.f64 1 (neg.f64 (sqrt.f64 2))) (neg.f64 a2))
(.f64 (.f64 (/.f64 1 (neg.f64 (sqrt.f64 2))) (neg.f64 a2)) a2)
(.f64 (.f64 (pow.f64 2 -1/2) (+.f64 1 (.f64 -1/2 (.f64 th th)))) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
(.f64 (pow.f64 2 -1/2) (+.f64 1 (.f64 -1/2 (*.f64 th th))))

Outputs
(+.f64 -2 (cos.f64 th))
(-.f64 (cos.f64 th) -2)
(/.f64 (+.f64 (cos.f64 (+.f64 th th)) (cos.f64 (+.f64 th th))) -2)
(pow.f64 (cos.f64 th) -2)
(pow.f64 (cos.f64 th) 1/3)
(sqrt.f64 (cos.f64 th))
(fabs.f64 (cos.f64 th))
(log.f64 (exp.f64 (cos.f64 th)))
(log.f64 (+.f64 -2 (expm1.f64 (cos.f64 th))))
(cbrt.f64 (cos.f64 th))
(cos.f64 th)
(expm1.f64 (log.f64 (cos.f64 th)))
(exp.f64 (log.f64 (cos.f64 th)))
(exp.f64 (*.f64 (log.f64 (cos.f64 th)) -2))
(log1p.f64 (expm1.f64 (cos.f64 th)))
(+.f64 (.f64 (cos.f64 th) a2) (.f64 (cos.f64 th) a1))
(+.f64 (.f64 (cos.f64 th) a1) (.f64 (cos.f64 th) a2))
(+.f64 (.f64 a2 (cos.f64 th)) (.f64 a1 (cos.f64 th)))
(+.f64 (.f64 a1 (cos.f64 th)) (.f64 a2 (cos.f64 th)))
(+.f64 (.f64 (.f64 (cos.f64 th) (+.f64 a2 a1)) (.f64 (cos.f64 th) a2)) (.f64 (.f64 (cos.f64 th) (+.f64 a2 a1)) (.f64 (cos.f64 th) a1)))
(+.f64 (.f64 (.f64 (cos.f64 th) (+.f64 a2 a1)) (.f64 a2 (cos.f64 th))) (.f64 (.f64 (cos.f64 th) (+.f64 a2 a1)) (.f64 a1 (cos.f64 th))))
(+.f64 (.f64 (.f64 (cos.f64 th) a2) (.f64 (cos.f64 th) (+.f64 a2 a1))) (.f64 (.f64 (cos.f64 th) a1) (.f64 (cos.f64 th) (+.f64 a2 a1))))
(+.f64 (.f64 (.f64 a2 (cos.f64 th)) (.f64 (cos.f64 th) (+.f64 a2 a1))) (.f64 (.f64 a1 (cos.f64 th)) (.f64 (cos.f64 th) (+.f64 a2 a1))))
(+.f64 (.f64 (.f64 (cos.f64 th) a2) -2) (.f64 (.f64 (cos.f64 th) a1) -2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)))) -2)
(/.f64 (.f64 (cos.f64 th) (+.f64 a2 a1)) (+.f64 (.f64 (cos.f64 th) a2) (-.f64 (.f64 (cos.f64 th) a1) (.f64 (.f64 (cos.f64 th) a2) (.f64 (cos.f64 th) a1)))))
(/.f64 (.f64 (cos.f64 th) (+.f64 a2 a1)) (+.f64 (.f64 a2 (cos.f64 th)) (-.f64 (.f64 a1 (cos.f64 th)) (.f64 (.f64 a2 (cos.f64 th)) (.f64 a1 (cos.f64 th))))))
(/.f64 (-.f64 (.f64 (cos.f64 th) a2) (.f64 (cos.f64 th) a1)) (-.f64 (.f64 (cos.f64 th) a2) (.f64 (cos.f64 th) a1)))
(/.f64 (-.f64 (.f64 a2 (cos.f64 th)) (.f64 a1 (cos.f64 th))) (-.f64 (.f64 a2 (cos.f64 th)) (.f64 a1 (cos.f64 th))))
(pow.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)) -2)
(pow.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)) 1/3)
(sqrt.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(fabs.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 th)) (+.f64 a2 a1)))
(log.f64 (+.f64 -2 (expm1.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)))))
(cbrt.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1))))
(exp.f64 (log.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1))))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 th) (+.f64 a2 a1))) -2))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1))))
(fma.f64 (cos.f64 th) a2 (*.f64 (cos.f64 th) a1))
(fma.f64 a2 (cos.f64 th) (*.f64 a1 (cos.f64 th)))
(+.f64 0 a2)
(-.f64 0 a2)
(-.f64 (exp.f64 (log1p.f64 a2)) -2)
(/.f64 a2 a2)
(/.f64 a2 -2)
(/.f64 a2 (+.f64 0 (+.f64 a2 (*.f64 0 a2))))
(/.f64 -2 (/.f64 -2 a2))
(pow.f64 a2 -2)
(pow.f64 a2 1/3)
(neg.f64 a2)
(sqrt.f64 a2)
(fabs.f64 a2)
(log.f64 (exp.f64 a2))
(log.f64 (+.f64 -2 (expm1.f64 a2)))
(cbrt.f64 a2)
a2
(expm1.f64 (log1p.f64 a2))
(exp.f64 (log.f64 a2))
(exp.f64 (*.f64 (log.f64 a2) -2))
(log1p.f64 (expm1.f64 a2))
-2
-1
-1/2
-1/4
-1/8
-1/64
-1/512
1/512
1/64
1/16
1/8
1/4
1/2
1
3/2
2
3
4
6
8
9
16
27
64
512
(+.f64 0 a2)
(-.f64 0 a2)
(-.f64 (exp.f64 (log1p.f64 a2)) -2)
(/.f64 a2 a2)
(/.f64 a2 -2)
(/.f64 a2 (+.f64 0 (+.f64 a2 (*.f64 0 a2))))
(/.f64 -2 (/.f64 -2 a2))
(pow.f64 a2 -2)
(pow.f64 a2 1/3)
(neg.f64 a2)
(sqrt.f64 a2)
(fabs.f64 a2)
(log.f64 (exp.f64 a2))
(log.f64 (+.f64 -2 (expm1.f64 a2)))
(cbrt.f64 a2)
a2
(expm1.f64 (log1p.f64 a2))
(exp.f64 (log.f64 a2))
(exp.f64 (*.f64 (log.f64 a2) -2))
(log1p.f64 (expm1.f64 a2))
(+.f64 0 a2)
(-.f64 0 a2)
(-.f64 (exp.f64 (log1p.f64 a2)) -2)
(/.f64 a2 a2)
(/.f64 a2 -2)
(/.f64 a2 (+.f64 0 (+.f64 a2 (*.f64 0 a2))))
(/.f64 -2 (/.f64 -2 a2))
(pow.f64 a2 -2)
(pow.f64 a2 1/3)
(neg.f64 a2)
(sqrt.f64 a2)
(fabs.f64 a2)
(log.f64 (exp.f64 a2))
(log.f64 (+.f64 -2 (expm1.f64 a2)))
(cbrt.f64 a2)
a2
(expm1.f64 (log1p.f64 a2))
(exp.f64 (log.f64 a2))
(exp.f64 (*.f64 (log.f64 a2) -2))
(log1p.f64 (expm1.f64 a2))
(+.f64 (+.f64 a2 a1) (*.f64 th (+.f64 a2 a1)))
(+.f64 (.f64 (+.f64 th -2) a2) (.f64 (+.f64 th -2) a1))
(+.f64 (.f64 (+.f64 th -2) a1) (.f64 (+.f64 th -2) a2))
(+.f64 (+.f64 a2 (.f64 a2 th)) (+.f64 a1 (.f64 th a1)))
(+.f64 (+.f64 a1 (.f64 th a1)) (+.f64 a2 (.f64 a2 th)))
(+.f64 (.f64 (.f64 (+.f64 a2 a1) (+.f64 th -2)) (.f64 (+.f64 th -2) a2)) (.f64 (.f64 (+.f64 a2 a1) (+.f64 th -2)) (.f64 (+.f64 th -2) a1)))
(+.f64 (.f64 (.f64 (+.f64 a2 a1) (+.f64 th -2)) (+.f64 a2 (.f64 a2 th))) (.f64 (.f64 (+.f64 a2 a1) (+.f64 th -2)) (+.f64 a1 (.f64 th a1))))
(+.f64 (.f64 (.f64 (+.f64 th -2) a2) (.f64 (+.f64 a2 a1) (+.f64 th -2))) (.f64 (.f64 (+.f64 th -2) a1) (.f64 (+.f64 a2 a1) (+.f64 th -2))))
(+.f64 (.f64 (+.f64 a2 (.f64 a2 th)) (.f64 (+.f64 a2 a1) (+.f64 th -2))) (.f64 (+.f64 a1 (.f64 th a1)) (.f64 (+.f64 a2 a1) (+.f64 th -2))))
(+.f64 (.f64 (.f64 (+.f64 th -2) a2) -2) (.f64 (.f64 (+.f64 th -2) a1) -2))
(+.f64 (.f64 (+.f64 a2 a1) -2) (.f64 (+.f64 a2 a1) th))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 a2 a1) (+.f64 th -2)))) -2)
(/.f64 (.f64 (+.f64 a2 a1) (+.f64 th -2)) (.f64 (+.f64 a2 a1) (+.f64 th -2)))
(/.f64 (.f64 (+.f64 a2 a1) (+.f64 th -2)) (.f64 (+.f64 -2 (+.f64 th th)) (-.f64 (+.f64 a2 a1) (*.f64 a2 a1))))
(/.f64 (.f64 (+.f64 a2 a1) (+.f64 th -2)) (.f64 (+.f64 -2 (+.f64 th th)) (+.f64 a2 a1)))
(/.f64 (.f64 (+.f64 a2 a1) (+.f64 th -2)) (.f64 (+.f64 th -2) (-.f64 (+.f64 a2 a1) (*.f64 a2 a1))))
(/.f64 (.f64 (+.f64 a2 a1) (+.f64 th -2)) (+.f64 (.f64 (+.f64 th -2) a2) (-.f64 (.f64 (+.f64 th -2) a1) (.f64 (.f64 (+.f64 th -2) a2) (.f64 (+.f64 th -2) a1)))))
(/.f64 (.f64 (+.f64 a2 a1) (+.f64 th -2)) (+.f64 (+.f64 a2 (.f64 a2 th)) (-.f64 (+.f64 a1 (.f64 th a1)) (.f64 (+.f64 a2 (.f64 a2 th)) (+.f64 a1 (.f64 th a1))))))
(/.f64 (-.f64 (.f64 (+.f64 th -2) a2) (.f64 (+.f64 th -2) a1)) (-.f64 (.f64 (+.f64 th -2) a2) (.f64 (+.f64 th -2) a1)))
(/.f64 (-.f64 (+.f64 a2 (.f64 a2 th)) (+.f64 a1 (.f64 th a1))) (-.f64 (+.f64 a2 (.f64 a2 th)) (+.f64 a1 (.f64 th a1))))
(pow.f64 (*.f64 (+.f64 a2 a1) (+.f64 th -2)) -2)
(pow.f64 (*.f64 (+.f64 a2 a1) (+.f64 th -2)) 1/3)
(sqrt.f64 (*.f64 (+.f64 a2 a1) (+.f64 th -2)))
(fabs.f64 (*.f64 (+.f64 a2 a1) (+.f64 th -2)))
(log.f64 (pow.f64 (exp.f64 (+.f64 a2 a1)) (+.f64 th -2)))
(log.f64 (+.f64 -2 (expm1.f64 (*.f64 (+.f64 a2 a1) (+.f64 th -2)))))
(cbrt.f64 (*.f64 (+.f64 a2 a1) (+.f64 th -2)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 a2 a1) (+.f64 th -2))))
(exp.f64 (+.f64 (log1p.f64 th) (log.f64 (+.f64 a2 a1))))
(exp.f64 (*.f64 (+.f64 (log1p.f64 th) (log.f64 (+.f64 a2 a1))) -2))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 a2 a1) (+.f64 th -2))))
(fma.f64 a2 (+.f64 th -2) (+.f64 a1 (*.f64 th a1)))
(fma.f64 (+.f64 th -2) a2 (*.f64 (+.f64 th -2) a1))
(+.f64 th -2)
(+.f64 -2 th)
(+.f64 -2 (neg.f64 th))
(+.f64 -2 (*.f64 (neg.f64 th) -2))
(+.f64 -2 (*.f64 (neg.f64 th) th))
(+.f64 (+.f64 th -2) (*.f64 (+.f64 th -2) th))
(+.f64 (+.f64 th -2) (*.f64 th (+.f64 th -2)))
(+.f64 (*.f64 (+.f64 th -2) th) (+.f64 th -2))
(+.f64 (*.f64 th (+.f64 th -2)) (+.f64 th -2))
(-.f64 -2 th)
(-.f64 (+.f64 th -2) (/.f64 th (+.f64 th -2)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 th -2))) -2)
(/.f64 -2 (+.f64 th -2))
(/.f64 -2 (/.f64 (+.f64 -2 (+.f64 th th)) (+.f64 th -2)))
(/.f64 (+.f64 th -2) (+.f64 th -2))
(/.f64 (+.f64 th -2) (+.f64 -2 (+.f64 th th)))
(/.f64 (+.f64 th -2) (cbrt.f64 (+.f64 -2 (+.f64 th th))))
(/.f64 (+.f64 th -2) (*.f64 (+.f64 -2 (+.f64 th th)) (+.f64 -2 (+.f64 th th))))
(/.f64 (+.f64 th -2) (sqrt.f64 (+.f64 -2 (+.f64 th th))))
(/.f64 (+.f64 th -2) (*.f64 (+.f64 -2 (+.f64 th th)) (+.f64 th -2)))
(/.f64 (+.f64 th -2) (*.f64 (+.f64 th -2) (+.f64 -2 (+.f64 th th))))
(/.f64 (+.f64 th -2) (+.f64 th (+.f64 th -2)))
(/.f64 (neg.f64 (+.f64 th -2)) (neg.f64 (+.f64 -2 (+.f64 th th))))
(/.f64 (neg.f64 (+.f64 th -2)) (neg.f64 (+.f64 th -2)))
(/.f64 (-.f64 th -2) (-.f64 th -2))
(pow.f64 (+.f64 th -2) -2)
(pow.f64 (+.f64 th -2) 1/3)
(sqrt.f64 (+.f64 th -2))
(fabs.f64 (+.f64 th -2))
(log.f64 (exp.f64 (+.f64 th -2)))
(log.f64 (+.f64 -2 (expm1.f64 (+.f64 th -2))))
(cbrt.f64 (+.f64 th -2))
(expm1.f64 (log1p.f64 (+.f64 th -2)))
(hypot.f64 -2 th)
(exp.f64 (log1p.f64 th))
(exp.f64 (*.f64 (log1p.f64 th) -2))
(log1p.f64 (expm1.f64 (+.f64 th -2)))
(fma.f64 th th -2)
(fma.f64 th -2 -2)
(fma.f64 -2 th -2)
(fma.f64 -2 -2 th)

simplify165.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1900×	`fma-neg`
1228×	`div-sub`
772×	`*-commutative`
472×	`+-commutative`
404×	`fma-def`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	338	7864
1	899	7218
2	2893	6306
3	6082	6300

Stop Event

1×	node limit

Counts

322 → 300

Calls

Call 1

Inputs
(sqrt.f64 1/2)
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 1/2) (pow.f64 th 2))) (sqrt.f64 1/2))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 1/2) (pow.f64 th 2))) (+.f64 (.f64 1/24 (.f64 (sqrt.f64 1/2) (pow.f64 th 4))) (sqrt.f64 1/2)))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 1/2) (pow.f64 th 2))) (+.f64 (.f64 1/24 (.f64 (sqrt.f64 1/2) (pow.f64 th 4))) (+.f64 (sqrt.f64 1/2) (.f64 -1/720 (.f64 (sqrt.f64 1/2) (pow.f64 th 6))))))
(*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)))) (.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))
(+.f64 (.f64 1/24 (.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)))) (*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))))
(+.f64 (.f64 1/24 (.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)))) (+.f64 (.f64 -1/720 (.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 6)))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)))) (.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th))))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th))))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th))))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th)))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th))))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th))))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th))))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th)))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th))))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th))))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th))))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th)))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th))))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th))))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th))))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th))))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th))))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th))))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th))))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th))))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th))))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(/.f64 a2 (sqrt.f64 2))
(/.f64 a2 (sqrt.f64 2))
(/.f64 a2 (sqrt.f64 2))
(/.f64 a2 (sqrt.f64 2))
(/.f64 a2 (sqrt.f64 2))
(/.f64 a2 (sqrt.f64 2))
(/.f64 a2 (sqrt.f64 2))
(/.f64 a2 (sqrt.f64 2))
(/.f64 a2 (sqrt.f64 2))
(/.f64 a2 (sqrt.f64 2))
(/.f64 a2 (sqrt.f64 2))
(/.f64 a2 (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)))) (.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)))) (.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)))) (.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))
(.f64 -1/2 (.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2))))
(+.f64 (.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))) (.f64 -1/2 (.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)))))
(+.f64 (.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))) (.f64 -1/2 (.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)))))
(+.f64 (.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))) (.f64 -1/2 (.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)))))
(.f64 -1/2 (.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2))))
(+.f64 (.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))) (.f64 -1/2 (.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)))))
(+.f64 (.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))) (.f64 -1/2 (.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)))))
(+.f64 (.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))) (.f64 -1/2 (.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)))))
(.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (*.f64 (sqrt.f64 1/2) (pow.f64 a1 2)))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (.f64 (sqrt.f64 1/2) (pow.f64 a2 2))) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (.f64 (sqrt.f64 1/2) (pow.f64 a1 2))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (.f64 (sqrt.f64 1/2) (pow.f64 a2 2))) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (.f64 (sqrt.f64 1/2) (pow.f64 a1 2))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (.f64 (sqrt.f64 1/2) (pow.f64 a2 2))) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (.f64 (sqrt.f64 1/2) (pow.f64 a1 2))))
(.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (*.f64 (sqrt.f64 1/2) (pow.f64 a2 2)))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (.f64 (sqrt.f64 1/2) (pow.f64 a2 2))) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (.f64 (sqrt.f64 1/2) (pow.f64 a1 2))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (.f64 (sqrt.f64 1/2) (pow.f64 a2 2))) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (.f64 (sqrt.f64 1/2) (pow.f64 a1 2))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (.f64 (sqrt.f64 1/2) (pow.f64 a2 2))) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (.f64 (sqrt.f64 1/2) (pow.f64 a1 2))))
(.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (*.f64 (sqrt.f64 1/2) (pow.f64 a2 2)))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (.f64 (sqrt.f64 1/2) (pow.f64 a2 2))) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (.f64 (sqrt.f64 1/2) (pow.f64 a1 2))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (.f64 (sqrt.f64 1/2) (pow.f64 a2 2))) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (.f64 (sqrt.f64 1/2) (pow.f64 a1 2))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (.f64 (sqrt.f64 1/2) (pow.f64 a2 2))) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (.f64 (sqrt.f64 1/2) (pow.f64 a1 2))))
(.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (*.f64 (sqrt.f64 1/2) (pow.f64 a2 2)))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (.f64 (sqrt.f64 1/2) (pow.f64 a2 2))) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (.f64 (sqrt.f64 1/2) (pow.f64 a1 2))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (.f64 (sqrt.f64 1/2) (pow.f64 a2 2))) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (.f64 (sqrt.f64 1/2) (pow.f64 a1 2))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (.f64 (sqrt.f64 1/2) (pow.f64 a2 2))) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (.f64 (sqrt.f64 1/2) (pow.f64 a1 2))))
(.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (*.f64 (sqrt.f64 1/2) (pow.f64 a1 2)))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (.f64 (sqrt.f64 1/2) (pow.f64 a2 2))) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (.f64 (sqrt.f64 1/2) (pow.f64 a1 2))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (.f64 (sqrt.f64 1/2) (pow.f64 a2 2))) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (.f64 (sqrt.f64 1/2) (pow.f64 a1 2))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (.f64 (sqrt.f64 1/2) (pow.f64 a2 2))) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (.f64 (sqrt.f64 1/2) (pow.f64 a1 2))))
(.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (*.f64 (sqrt.f64 1/2) (pow.f64 a1 2)))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (.f64 (sqrt.f64 1/2) (pow.f64 a2 2))) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (.f64 (sqrt.f64 1/2) (pow.f64 a1 2))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (.f64 (sqrt.f64 1/2) (pow.f64 a2 2))) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (.f64 (sqrt.f64 1/2) (pow.f64 a1 2))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (.f64 (sqrt.f64 1/2) (pow.f64 a2 2))) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 th 2))) (.f64 (sqrt.f64 1/2) (pow.f64 a1 2))))
(sqrt.f64 1/2)
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 1/2) (pow.f64 th 2))) (sqrt.f64 1/2))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 1/2) (pow.f64 th 2))) (sqrt.f64 1/2))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 1/2) (pow.f64 th 2))) (sqrt.f64 1/2))
(.f64 -1/2 (.f64 (sqrt.f64 1/2) (pow.f64 th 2)))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 1/2) (pow.f64 th 2))) (sqrt.f64 1/2))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 1/2) (pow.f64 th 2))) (sqrt.f64 1/2))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 1/2) (pow.f64 th 2))) (sqrt.f64 1/2))
(.f64 -1/2 (.f64 (sqrt.f64 1/2) (pow.f64 th 2)))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 1/2) (pow.f64 th 2))) (sqrt.f64 1/2))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 1/2) (pow.f64 th 2))) (sqrt.f64 1/2))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 1/2) (pow.f64 th 2))) (sqrt.f64 1/2))
(+.f64 -2 (cos.f64 th))
(-.f64 (cos.f64 th) -2)
(/.f64 (+.f64 (cos.f64 (+.f64 th th)) (cos.f64 (+.f64 th th))) -2)
(pow.f64 (cos.f64 th) -2)
(pow.f64 (cos.f64 th) 1/3)
(sqrt.f64 (cos.f64 th))
(fabs.f64 (cos.f64 th))
(log.f64 (exp.f64 (cos.f64 th)))
(log.f64 (+.f64 -2 (expm1.f64 (cos.f64 th))))
(cbrt.f64 (cos.f64 th))
(cos.f64 th)
(expm1.f64 (log.f64 (cos.f64 th)))
(exp.f64 (log.f64 (cos.f64 th)))
(exp.f64 (*.f64 (log.f64 (cos.f64 th)) -2))
(log1p.f64 (expm1.f64 (cos.f64 th)))
(+.f64 (.f64 (cos.f64 th) a2) (.f64 (cos.f64 th) a1))
(+.f64 (.f64 (cos.f64 th) a1) (.f64 (cos.f64 th) a2))
(+.f64 (.f64 a2 (cos.f64 th)) (.f64 a1 (cos.f64 th)))
(+.f64 (.f64 a1 (cos.f64 th)) (.f64 a2 (cos.f64 th)))
(+.f64 (.f64 (.f64 (cos.f64 th) (+.f64 a2 a1)) (.f64 (cos.f64 th) a2)) (.f64 (.f64 (cos.f64 th) (+.f64 a2 a1)) (.f64 (cos.f64 th) a1)))
(+.f64 (.f64 (.f64 (cos.f64 th) (+.f64 a2 a1)) (.f64 a2 (cos.f64 th))) (.f64 (.f64 (cos.f64 th) (+.f64 a2 a1)) (.f64 a1 (cos.f64 th))))
(+.f64 (.f64 (.f64 (cos.f64 th) a2) (.f64 (cos.f64 th) (+.f64 a2 a1))) (.f64 (.f64 (cos.f64 th) a1) (.f64 (cos.f64 th) (+.f64 a2 a1))))
(+.f64 (.f64 (.f64 a2 (cos.f64 th)) (.f64 (cos.f64 th) (+.f64 a2 a1))) (.f64 (.f64 a1 (cos.f64 th)) (.f64 (cos.f64 th) (+.f64 a2 a1))))
(+.f64 (.f64 (.f64 (cos.f64 th) a2) -2) (.f64 (.f64 (cos.f64 th) a1) -2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)))) -2)
(/.f64 (.f64 (cos.f64 th) (+.f64 a2 a1)) (+.f64 (.f64 (cos.f64 th) a2) (-.f64 (.f64 (cos.f64 th) a1) (.f64 (.f64 (cos.f64 th) a2) (.f64 (cos.f64 th) a1)))))
(/.f64 (.f64 (cos.f64 th) (+.f64 a2 a1)) (+.f64 (.f64 a2 (cos.f64 th)) (-.f64 (.f64 a1 (cos.f64 th)) (.f64 (.f64 a2 (cos.f64 th)) (.f64 a1 (cos.f64 th))))))
(/.f64 (-.f64 (.f64 (cos.f64 th) a2) (.f64 (cos.f64 th) a1)) (-.f64 (.f64 (cos.f64 th) a2) (.f64 (cos.f64 th) a1)))
(/.f64 (-.f64 (.f64 a2 (cos.f64 th)) (.f64 a1 (cos.f64 th))) (-.f64 (.f64 a2 (cos.f64 th)) (.f64 a1 (cos.f64 th))))
(pow.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)) -2)
(pow.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)) 1/3)
(sqrt.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(fabs.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 th)) (+.f64 a2 a1)))
(log.f64 (+.f64 -2 (expm1.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)))))
(cbrt.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1))))
(exp.f64 (log.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1))))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 th) (+.f64 a2 a1))) -2))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1))))
(fma.f64 (cos.f64 th) a2 (*.f64 (cos.f64 th) a1))
(fma.f64 a2 (cos.f64 th) (*.f64 a1 (cos.f64 th)))
(+.f64 0 a2)
(-.f64 0 a2)
(-.f64 (exp.f64 (log1p.f64 a2)) -2)
(/.f64 a2 a2)
(/.f64 a2 -2)
(/.f64 a2 (+.f64 0 (+.f64 a2 (*.f64 0 a2))))
(/.f64 -2 (/.f64 -2 a2))
(pow.f64 a2 -2)
(pow.f64 a2 1/3)
(neg.f64 a2)
(sqrt.f64 a2)
(fabs.f64 a2)
(log.f64 (exp.f64 a2))
(log.f64 (+.f64 -2 (expm1.f64 a2)))
(cbrt.f64 a2)
(expm1.f64 (log1p.f64 a2))
(exp.f64 (log.f64 a2))
(exp.f64 (*.f64 (log.f64 a2) -2))
(log1p.f64 (expm1.f64 a2))
-2
-1
-1/2
-1/4
-1/8
-1/64
-1/512
1/512
1/64
1/16
1/8
1/4
1/2
1
3/2
2
3
4
6
8
9
16
27
64
512
(+.f64 0 a2)
(-.f64 0 a2)
(-.f64 (exp.f64 (log1p.f64 a2)) -2)
(/.f64 a2 a2)
(/.f64 a2 -2)
(/.f64 a2 (+.f64 0 (+.f64 a2 (*.f64 0 a2))))
(/.f64 -2 (/.f64 -2 a2))
(pow.f64 a2 -2)
(pow.f64 a2 1/3)
(neg.f64 a2)
(sqrt.f64 a2)
(fabs.f64 a2)
(log.f64 (exp.f64 a2))
(log.f64 (+.f64 -2 (expm1.f64 a2)))
(cbrt.f64 a2)
(expm1.f64 (log1p.f64 a2))
(exp.f64 (log.f64 a2))
(exp.f64 (*.f64 (log.f64 a2) -2))
(log1p.f64 (expm1.f64 a2))
(+.f64 0 a2)
(-.f64 0 a2)
(-.f64 (exp.f64 (log1p.f64 a2)) -2)
(/.f64 a2 a2)
(/.f64 a2 -2)
(/.f64 a2 (+.f64 0 (+.f64 a2 (*.f64 0 a2))))
(/.f64 -2 (/.f64 -2 a2))
(pow.f64 a2 -2)
(pow.f64 a2 1/3)
(neg.f64 a2)
(sqrt.f64 a2)
(fabs.f64 a2)
(log.f64 (exp.f64 a2))
(log.f64 (+.f64 -2 (expm1.f64 a2)))
(cbrt.f64 a2)
(expm1.f64 (log1p.f64 a2))
(exp.f64 (log.f64 a2))
(exp.f64 (*.f64 (log.f64 a2) -2))
(log1p.f64 (expm1.f64 a2))
(+.f64 (+.f64 a2 a1) (*.f64 th (+.f64 a2 a1)))
(+.f64 (.f64 (+.f64 th -2) a2) (.f64 (+.f64 th -2) a1))
(+.f64 (.f64 (+.f64 th -2) a1) (.f64 (+.f64 th -2) a2))
(+.f64 (+.f64 a2 (.f64 a2 th)) (+.f64 a1 (.f64 th a1)))
(+.f64 (+.f64 a1 (.f64 th a1)) (+.f64 a2 (.f64 a2 th)))
(+.f64 (.f64 (.f64 (+.f64 a2 a1) (+.f64 th -2)) (.f64 (+.f64 th -2) a2)) (.f64 (.f64 (+.f64 a2 a1) (+.f64 th -2)) (.f64 (+.f64 th -2) a1)))
(+.f64 (.f64 (.f64 (+.f64 a2 a1) (+.f64 th -2)) (+.f64 a2 (.f64 a2 th))) (.f64 (.f64 (+.f64 a2 a1) (+.f64 th -2)) (+.f64 a1 (.f64 th a1))))
(+.f64 (.f64 (.f64 (+.f64 th -2) a2) (.f64 (+.f64 a2 a1) (+.f64 th -2))) (.f64 (.f64 (+.f64 th -2) a1) (.f64 (+.f64 a2 a1) (+.f64 th -2))))
(+.f64 (.f64 (+.f64 a2 (.f64 a2 th)) (.f64 (+.f64 a2 a1) (+.f64 th -2))) (.f64 (+.f64 a1 (.f64 th a1)) (.f64 (+.f64 a2 a1) (+.f64 th -2))))
(+.f64 (.f64 (.f64 (+.f64 th -2) a2) -2) (.f64 (.f64 (+.f64 th -2) a1) -2))
(+.f64 (.f64 (+.f64 a2 a1) -2) (.f64 (+.f64 a2 a1) th))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 a2 a1) (+.f64 th -2)))) -2)
(/.f64 (.f64 (+.f64 a2 a1) (+.f64 th -2)) (.f64 (+.f64 a2 a1) (+.f64 th -2)))
(/.f64 (.f64 (+.f64 a2 a1) (+.f64 th -2)) (.f64 (+.f64 -2 (+.f64 th th)) (-.f64 (+.f64 a2 a1) (*.f64 a2 a1))))
(/.f64 (.f64 (+.f64 a2 a1) (+.f64 th -2)) (.f64 (+.f64 -2 (+.f64 th th)) (+.f64 a2 a1)))
(/.f64 (.f64 (+.f64 a2 a1) (+.f64 th -2)) (.f64 (+.f64 th -2) (-.f64 (+.f64 a2 a1) (*.f64 a2 a1))))
(/.f64 (.f64 (+.f64 a2 a1) (+.f64 th -2)) (+.f64 (.f64 (+.f64 th -2) a2) (-.f64 (.f64 (+.f64 th -2) a1) (.f64 (.f64 (+.f64 th -2) a2) (.f64 (+.f64 th -2) a1)))))
(/.f64 (.f64 (+.f64 a2 a1) (+.f64 th -2)) (+.f64 (+.f64 a2 (.f64 a2 th)) (-.f64 (+.f64 a1 (.f64 th a1)) (.f64 (+.f64 a2 (.f64 a2 th)) (+.f64 a1 (.f64 th a1))))))
(/.f64 (-.f64 (.f64 (+.f64 th -2) a2) (.f64 (+.f64 th -2) a1)) (-.f64 (.f64 (+.f64 th -2) a2) (.f64 (+.f64 th -2) a1)))
(/.f64 (-.f64 (+.f64 a2 (.f64 a2 th)) (+.f64 a1 (.f64 th a1))) (-.f64 (+.f64 a2 (.f64 a2 th)) (+.f64 a1 (.f64 th a1))))
(pow.f64 (*.f64 (+.f64 a2 a1) (+.f64 th -2)) -2)
(pow.f64 (*.f64 (+.f64 a2 a1) (+.f64 th -2)) 1/3)
(sqrt.f64 (*.f64 (+.f64 a2 a1) (+.f64 th -2)))
(fabs.f64 (*.f64 (+.f64 a2 a1) (+.f64 th -2)))
(log.f64 (pow.f64 (exp.f64 (+.f64 a2 a1)) (+.f64 th -2)))
(log.f64 (+.f64 -2 (expm1.f64 (*.f64 (+.f64 a2 a1) (+.f64 th -2)))))
(cbrt.f64 (*.f64 (+.f64 a2 a1) (+.f64 th -2)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 a2 a1) (+.f64 th -2))))
(exp.f64 (+.f64 (log1p.f64 th) (log.f64 (+.f64 a2 a1))))
(exp.f64 (*.f64 (+.f64 (log1p.f64 th) (log.f64 (+.f64 a2 a1))) -2))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 a2 a1) (+.f64 th -2))))
(fma.f64 a2 (+.f64 th -2) (+.f64 a1 (*.f64 th a1)))
(fma.f64 (+.f64 th -2) a2 (*.f64 (+.f64 th -2) a1))
(+.f64 th -2)
(+.f64 -2 th)
(+.f64 -2 (neg.f64 th))
(+.f64 -2 (*.f64 (neg.f64 th) -2))
(+.f64 -2 (*.f64 (neg.f64 th) th))
(+.f64 (+.f64 th -2) (*.f64 (+.f64 th -2) th))
(+.f64 (+.f64 th -2) (*.f64 th (+.f64 th -2)))
(+.f64 (*.f64 (+.f64 th -2) th) (+.f64 th -2))
(+.f64 (*.f64 th (+.f64 th -2)) (+.f64 th -2))
(-.f64 -2 th)
(-.f64 (+.f64 th -2) (/.f64 th (+.f64 th -2)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 th -2))) -2)
(/.f64 -2 (+.f64 th -2))
(/.f64 -2 (/.f64 (+.f64 -2 (+.f64 th th)) (+.f64 th -2)))
(/.f64 (+.f64 th -2) (+.f64 th -2))
(/.f64 (+.f64 th -2) (+.f64 -2 (+.f64 th th)))
(/.f64 (+.f64 th -2) (cbrt.f64 (+.f64 -2 (+.f64 th th))))
(/.f64 (+.f64 th -2) (*.f64 (+.f64 -2 (+.f64 th th)) (+.f64 -2 (+.f64 th th))))
(/.f64 (+.f64 th -2) (sqrt.f64 (+.f64 -2 (+.f64 th th))))
(/.f64 (+.f64 th -2) (*.f64 (+.f64 -2 (+.f64 th th)) (+.f64 th -2)))
(/.f64 (+.f64 th -2) (*.f64 (+.f64 th -2) (+.f64 -2 (+.f64 th th))))
(/.f64 (+.f64 th -2) (+.f64 th (+.f64 th -2)))
(/.f64 (neg.f64 (+.f64 th -2)) (neg.f64 (+.f64 -2 (+.f64 th th))))
(/.f64 (neg.f64 (+.f64 th -2)) (neg.f64 (+.f64 th -2)))
(/.f64 (-.f64 th -2) (-.f64 th -2))
(pow.f64 (+.f64 th -2) -2)
(pow.f64 (+.f64 th -2) 1/3)
(sqrt.f64 (+.f64 th -2))
(fabs.f64 (+.f64 th -2))
(log.f64 (exp.f64 (+.f64 th -2)))
(log.f64 (+.f64 -2 (expm1.f64 (+.f64 th -2))))
(cbrt.f64 (+.f64 th -2))
(expm1.f64 (log1p.f64 (+.f64 th -2)))
(hypot.f64 -2 th)
(exp.f64 (log1p.f64 th))
(exp.f64 (*.f64 (log1p.f64 th) -2))
(log1p.f64 (expm1.f64 (+.f64 th -2)))
(fma.f64 th th -2)
(fma.f64 th -2 -2)
(fma.f64 -2 th -2)
(fma.f64 -2 -2 th)

Outputs
(sqrt.f64 1/2)
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 1/2) (pow.f64 th 2))) (sqrt.f64 1/2))
(fma.f64 -1/2 (.f64 (sqrt.f64 1/2) (.f64 th th)) (sqrt.f64 1/2))
(.f64 (sqrt.f64 1/2) (fma.f64 -1/2 (.f64 th th) 1))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 1/2) (pow.f64 th 2))) (+.f64 (.f64 1/24 (.f64 (sqrt.f64 1/2) (pow.f64 th 4))) (sqrt.f64 1/2)))
(fma.f64 -1/2 (.f64 (sqrt.f64 1/2) (.f64 th th)) (fma.f64 1/24 (*.f64 (sqrt.f64 1/2) (pow.f64 th 4)) (sqrt.f64 1/2)))
(+.f64 (sqrt.f64 1/2) (.f64 (sqrt.f64 1/2) (+.f64 (.f64 -1/2 (.f64 th th)) (.f64 1/24 (pow.f64 th 4)))))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 1/2) (pow.f64 th 2))) (+.f64 (.f64 1/24 (.f64 (sqrt.f64 1/2) (pow.f64 th 4))) (+.f64 (sqrt.f64 1/2) (.f64 -1/720 (.f64 (sqrt.f64 1/2) (pow.f64 th 6))))))
(fma.f64 -1/2 (.f64 (sqrt.f64 1/2) (.f64 th th)) (+.f64 (fma.f64 1/24 (.f64 (sqrt.f64 1/2) (pow.f64 th 4)) (sqrt.f64 1/2)) (.f64 (*.f64 -1/720 (sqrt.f64 1/2)) (pow.f64 th 6))))
(fma.f64 -1/2 (.f64 (sqrt.f64 1/2) (.f64 th th)) (fma.f64 1/24 (.f64 (sqrt.f64 1/2) (pow.f64 th 4)) (fma.f64 -1/720 (.f64 (sqrt.f64 1/2) (pow.f64 th 6)) (sqrt.f64 1/2))))
(+.f64 (.f64 (+.f64 (.f64 -1/720 (pow.f64 th 6)) 1) (sqrt.f64 1/2)) (.f64 (sqrt.f64 1/2) (+.f64 (.f64 -1/2 (.f64 th th)) (.f64 1/24 (pow.f64 th 4)))))
(*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))
(.f64 (sqrt.f64 1/2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (.f64 a1 a1)))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)))) (.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))
(fma.f64 (sqrt.f64 1/2) (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (.f64 -1/2 (sqrt.f64 1/2)) (.f64 (.f64 th th) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))))
(fma.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 (sqrt.f64 1/2) (.f64 (.f64 th (.f64 th (fma.f64 a2 a2 (.f64 a1 a1)))) -1/2)))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 (sqrt.f64 1/2) (fma.f64 -1/2 (.f64 th th) 1)))
(+.f64 (.f64 1/24 (.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)))) (*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))))
(fma.f64 1/24 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 th 4) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (fma.f64 (sqrt.f64 1/2) (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (.f64 -1/2 (sqrt.f64 1/2)) (.f64 (.f64 th th) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))))
(fma.f64 1/24 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 th 4) (fma.f64 a2 a2 (.f64 a1 a1)))) (fma.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 (sqrt.f64 1/2) (.f64 (.f64 th (.f64 th (fma.f64 a2 a2 (*.f64 a1 a1)))) -1/2))))
(fma.f64 1/24 (.f64 (.f64 (sqrt.f64 1/2) (pow.f64 th 4)) (fma.f64 a2 a2 (.f64 a1 a1))) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 (sqrt.f64 1/2) (fma.f64 -1/2 (*.f64 th th) 1))))
(+.f64 (.f64 1/24 (.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)))) (+.f64 (.f64 -1/720 (.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 6)))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)))) (.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))))
(fma.f64 1/24 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 th 4) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (fma.f64 -1/720 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 th 6) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (fma.f64 (sqrt.f64 1/2) (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (.f64 -1/2 (sqrt.f64 1/2)) (.f64 (.f64 th th) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))))))
(fma.f64 1/24 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 th 4) (fma.f64 a2 a2 (.f64 a1 a1)))) (fma.f64 -1/720 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 th 6) (fma.f64 a2 a2 (.f64 a1 a1)))) (fma.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 (sqrt.f64 1/2) (.f64 (.f64 th (.f64 th (fma.f64 a2 a2 (.f64 a1 a1)))) -1/2)))))
(+.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 (sqrt.f64 1/2) (fma.f64 -1/2 (.f64 th th) 1))) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 (sqrt.f64 1/2) (+.f64 (.f64 1/24 (pow.f64 th 4)) (*.f64 -1/720 (pow.f64 th 6))))))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (cos.f64 th)))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (*.f64 (sqrt.f64 1/2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (cos.f64 th)))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (*.f64 (sqrt.f64 1/2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (cos.f64 th)))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (*.f64 (sqrt.f64 1/2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (cos.f64 th)))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (*.f64 (sqrt.f64 1/2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (cos.f64 th)))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (*.f64 (sqrt.f64 1/2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (cos.f64 th)))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (*.f64 (sqrt.f64 1/2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (cos.f64 th)))
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(fabs.f64 (cos.f64 th))
(log.f64 (exp.f64 (cos.f64 th)))
(cos.f64 th)
(log.f64 (+.f64 -2 (expm1.f64 (cos.f64 th))))
(cbrt.f64 (cos.f64 th))
(cos.f64 th)
(expm1.f64 (log.f64 (cos.f64 th)))
(exp.f64 (log.f64 (cos.f64 th)))
(cos.f64 th)
(exp.f64 (*.f64 (log.f64 (cos.f64 th)) -2))
(pow.f64 (cos.f64 th) -2)
(log1p.f64 (expm1.f64 (cos.f64 th)))
(cos.f64 th)
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(*.f64 (cos.f64 th) (+.f64 a2 a1))
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(*.f64 (cos.f64 th) (+.f64 a2 a1))
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(.f64 (cos.f64 th) (.f64 (+.f64 a2 a1) (*.f64 (cos.f64 th) (+.f64 a2 a1))))
(exp.f64 (.f64 2 (log.f64 (.f64 (cos.f64 th) (+.f64 a2 a1)))))
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(/.f64 (-.f64 (.f64 a2 (cos.f64 th)) (.f64 a1 (cos.f64 th))) (-.f64 (.f64 a2 (cos.f64 th)) (.f64 a1 (cos.f64 th))))
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(pow.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)) -2)
(pow.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)) 1/3)
(cbrt.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(sqrt.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(fabs.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)))
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(*.f64 (cos.f64 th) (+.f64 a2 a1))
(log.f64 (+.f64 -2 (expm1.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)))))
(cbrt.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)))
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a2
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1
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(/.f64 -2 (/.f64 -2 a2))
a2
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(sqrt.f64 a2)
(fabs.f64 a2)
a2
(log.f64 (exp.f64 a2))
a2
(log.f64 (+.f64 -2 (expm1.f64 a2)))
(cbrt.f64 a2)
(expm1.f64 (log1p.f64 a2))
a2
(exp.f64 (log.f64 a2))
a2
(exp.f64 (*.f64 (log.f64 a2) -2))
(pow.f64 a2 -2)
(log1p.f64 (expm1.f64 a2))
a2
-2
-1
-1/2
-1/4
-1/8
-1/64
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1/512
1/64
1/16
1/8
1/4
1/2
1
3/2
2
3
4
6
8
9
16
27
64
512
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a2
(-.f64 0 a2)
(neg.f64 a2)
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1
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1
(/.f64 -2 (/.f64 -2 a2))
a2
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(sqrt.f64 a2)
(fabs.f64 a2)
a2
(log.f64 (exp.f64 a2))
a2
(log.f64 (+.f64 -2 (expm1.f64 a2)))
(cbrt.f64 a2)
(expm1.f64 (log1p.f64 a2))
a2
(exp.f64 (log.f64 a2))
a2
(exp.f64 (*.f64 (log.f64 a2) -2))
(pow.f64 a2 -2)
(log1p.f64 (expm1.f64 a2))
a2
(+.f64 0 a2)
a2
(-.f64 0 a2)
(neg.f64 a2)
(-.f64 (exp.f64 (log1p.f64 a2)) -2)
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1
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(*.f64 -1/2 a2)
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1
(/.f64 -2 (/.f64 -2 a2))
a2
(pow.f64 a2 -2)
(pow.f64 a2 1/3)
(cbrt.f64 a2)
(neg.f64 a2)
(sqrt.f64 a2)
(fabs.f64 a2)
a2
(log.f64 (exp.f64 a2))
a2
(log.f64 (+.f64 -2 (expm1.f64 a2)))
(cbrt.f64 a2)
(expm1.f64 (log1p.f64 a2))
a2
(exp.f64 (log.f64 a2))
a2
(exp.f64 (*.f64 (log.f64 a2) -2))
(pow.f64 a2 -2)
(log1p.f64 (expm1.f64 a2))
a2
(+.f64 (+.f64 a2 a1) (*.f64 th (+.f64 a2 a1)))
(*.f64 (+.f64 th 1) (+.f64 a2 a1))
(*.f64 (+.f64 a2 a1) (+.f64 th 1))
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(*.f64 (+.f64 a2 a1) (+.f64 th -2))
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(*.f64 (+.f64 th 1) (+.f64 a2 a1))
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(*.f64 (+.f64 a2 a1) (+.f64 th -2))
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(/.f64 (.f64 (+.f64 a2 a1) (+.f64 th -2)) (.f64 (+.f64 a2 a1) (+.f64 th -2)))
1
(/.f64 (.f64 (+.f64 a2 a1) (+.f64 th -2)) (.f64 (+.f64 -2 (+.f64 th th)) (-.f64 (+.f64 a2 a1) (*.f64 a2 a1))))
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(.f64 (+.f64 th -2) (/.f64 (/.f64 (+.f64 a2 a1) (fma.f64 2 th -2)) (+.f64 a1 (.f64 a2 (-.f64 1 a1)))))
(/.f64 (/.f64 (+.f64 th -2) (-.f64 1 (/.f64 (*.f64 a2 a1) (+.f64 a2 a1)))) (fma.f64 th 2 -2))
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(.f64 (/.f64 (+.f64 a2 a1) (+.f64 th -2)) (/.f64 (+.f64 th -2) (+.f64 a2 (-.f64 a1 (.f64 a2 a1)))))
(/.f64 (+.f64 a2 a1) (/.f64 (+.f64 a1 (-.f64 a2 (*.f64 a2 a1))) 1))
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(.f64 (/.f64 (+.f64 a2 a1) (+.f64 a2 (fma.f64 th a2 (.f64 (+.f64 (neg.f64 (fma.f64 th a2 a2)) 1) (fma.f64 th a1 a1))))) (+.f64 th -2))
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1
(/.f64 (-.f64 (+.f64 a2 (.f64 a2 th)) (+.f64 a1 (.f64 th a1))) (-.f64 (+.f64 a2 (.f64 a2 th)) (+.f64 a1 (.f64 th a1))))
1
(pow.f64 (*.f64 (+.f64 a2 a1) (+.f64 th -2)) -2)
(pow.f64 (*.f64 (+.f64 a2 a1) (+.f64 th -2)) 1/3)
(cbrt.f64 (*.f64 (+.f64 a2 a1) (+.f64 th -2)))
(sqrt.f64 (*.f64 (+.f64 a2 a1) (+.f64 th -2)))
(fabs.f64 (*.f64 (+.f64 a2 a1) (+.f64 th -2)))
(log.f64 (pow.f64 (exp.f64 (+.f64 a2 a1)) (+.f64 th -2)))
(*.f64 (+.f64 a2 a1) (+.f64 th -2))
(log.f64 (+.f64 -2 (expm1.f64 (*.f64 (+.f64 a2 a1) (+.f64 th -2)))))
(cbrt.f64 (*.f64 (+.f64 a2 a1) (+.f64 th -2)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 a2 a1) (+.f64 th -2))))
(*.f64 (+.f64 a2 a1) (+.f64 th -2))
(exp.f64 (+.f64 (log1p.f64 th) (log.f64 (+.f64 a2 a1))))
(*.f64 (+.f64 a2 a1) (exp.f64 (log1p.f64 th)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 th) (log.f64 (+.f64 a2 a1))) -2))
(pow.f64 (exp.f64 (+.f64 (log1p.f64 th) (log.f64 (+.f64 a2 a1)))) -2)
(pow.f64 (*.f64 (+.f64 a2 a1) (exp.f64 (log1p.f64 th))) -2)
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(*.f64 (+.f64 a2 a1) (+.f64 th -2))
(fma.f64 a2 (+.f64 th -2) (+.f64 a1 (*.f64 th a1)))
(fma.f64 a2 (+.f64 th -2) (*.f64 (+.f64 th 1) a1))
(fma.f64 a2 (+.f64 th -2) (fma.f64 th a1 a1))
(fma.f64 (+.f64 th -2) a2 (*.f64 (+.f64 th -2) a1))
(*.f64 (+.f64 a2 a1) (+.f64 th -2))
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(-.f64 -2 th)
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(+.f64 -2 (*.f64 -2 (neg.f64 th)))
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(-.f64 -2 (*.f64 th th))
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(*.f64 (+.f64 th 1) (+.f64 th -2))
(*.f64 (+.f64 th -2) (+.f64 th 1))
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(*.f64 (+.f64 th 1) (+.f64 th -2))
(*.f64 (+.f64 th -2) (+.f64 th 1))
(+.f64 (*.f64 (+.f64 th -2) th) (+.f64 th -2))
(*.f64 (+.f64 th 1) (+.f64 th -2))
(*.f64 (+.f64 th -2) (+.f64 th 1))
(+.f64 (*.f64 th (+.f64 th -2)) (+.f64 th -2))
(*.f64 (+.f64 th 1) (+.f64 th -2))
(*.f64 (+.f64 th -2) (+.f64 th 1))
(-.f64 -2 th)
(-.f64 (+.f64 th -2) (/.f64 th (+.f64 th -2)))
(+.f64 th (-.f64 -2 (/.f64 th (+.f64 th -2))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 th -2))) -2)
(+.f64 (exp.f64 (log1p.f64 (+.f64 th -2))) 2)
(+.f64 2 (exp.f64 (log1p.f64 (+.f64 th -2))))
(/.f64 -2 (+.f64 th -2))
(/.f64 -2 (/.f64 (+.f64 -2 (+.f64 th th)) (+.f64 th -2)))
(/.f64 -2 (/.f64 (+.f64 th (+.f64 th -2)) (+.f64 th -2)))
(*.f64 (+.f64 th -2) (/.f64 -2 (fma.f64 2 th -2)))
(*.f64 (+.f64 th -2) (/.f64 1 (-.f64 1 th)))
(/.f64 (+.f64 th -2) (+.f64 th -2))
1
(/.f64 (+.f64 th -2) (+.f64 -2 (+.f64 th th)))
(*.f64 (/.f64 (+.f64 a2 a1) (+.f64 th (+.f64 th -2))) (/.f64 (+.f64 th -2) (+.f64 a2 a1)))
(/.f64 (-.f64 2 th) (+.f64 2 (*.f64 th -2)))
(/.f64 (-.f64 2 th) (fma.f64 th -2 2))
(/.f64 (+.f64 th -2) (cbrt.f64 (+.f64 -2 (+.f64 th th))))
(/.f64 (+.f64 th -2) (cbrt.f64 (+.f64 th (+.f64 th -2))))
(/.f64 (+.f64 th -2) (cbrt.f64 (fma.f64 2 th -2)))
(/.f64 (+.f64 th -2) (cbrt.f64 (fma.f64 th 2 -2)))
(/.f64 (+.f64 th -2) (*.f64 (+.f64 -2 (+.f64 th th)) (+.f64 -2 (+.f64 th th))))
(/.f64 (+.f64 th -2) (*.f64 (+.f64 th (+.f64 th -2)) (+.f64 th (+.f64 th -2))))
(/.f64 (+.f64 th -2) (*.f64 (fma.f64 2 th -2) (fma.f64 2 th -2)))
(/.f64 (/.f64 (-.f64 2 th) (fma.f64 th -2 2)) (fma.f64 2 th -2))
(/.f64 (/.f64 (-.f64 2 th) (fma.f64 th -2 2)) (fma.f64 th 2 -2))
(/.f64 (+.f64 th -2) (sqrt.f64 (+.f64 -2 (+.f64 th th))))
(/.f64 (+.f64 th -2) (sqrt.f64 (+.f64 th (+.f64 th -2))))
(/.f64 (+.f64 th -2) (sqrt.f64 (fma.f64 2 th -2)))
(/.f64 (+.f64 th -2) (sqrt.f64 (fma.f64 th 2 -2)))
(/.f64 (+.f64 th -2) (*.f64 (+.f64 -2 (+.f64 th th)) (+.f64 th -2)))
(/.f64 1 (+.f64 th (+.f64 th -2)))
(/.f64 1 (fma.f64 2 th -2))
(/.f64 -1/2 (-.f64 1 th))
(/.f64 (+.f64 th -2) (*.f64 (+.f64 th -2) (+.f64 -2 (+.f64 th th))))
(/.f64 1 (+.f64 th (+.f64 th -2)))
(/.f64 1 (fma.f64 2 th -2))
(/.f64 -1/2 (-.f64 1 th))
(/.f64 (+.f64 th -2) (+.f64 th (+.f64 th -2)))
(*.f64 (/.f64 (+.f64 a2 a1) (+.f64 th (+.f64 th -2))) (/.f64 (+.f64 th -2) (+.f64 a2 a1)))
(/.f64 (-.f64 2 th) (+.f64 2 (*.f64 th -2)))
(/.f64 (-.f64 2 th) (fma.f64 th -2 2))
(/.f64 (neg.f64 (+.f64 th -2)) (neg.f64 (+.f64 -2 (+.f64 th th))))
(*.f64 (/.f64 (+.f64 a2 a1) (+.f64 th (+.f64 th -2))) (/.f64 (+.f64 th -2) (+.f64 a2 a1)))
(/.f64 (-.f64 2 th) (+.f64 2 (*.f64 th -2)))
(/.f64 (-.f64 2 th) (fma.f64 th -2 2))
(/.f64 (neg.f64 (+.f64 th -2)) (neg.f64 (+.f64 th -2)))
1
(/.f64 (-.f64 th -2) (-.f64 th -2))
1
(pow.f64 (+.f64 th -2) -2)
(pow.f64 (+.f64 th -2) 1/3)
(cbrt.f64 (+.f64 th -2))
(sqrt.f64 (+.f64 th -2))
(fabs.f64 (+.f64 th -2))
(log.f64 (exp.f64 (+.f64 th -2)))
(+.f64 th -2)
(log.f64 (+.f64 -2 (expm1.f64 (+.f64 th -2))))
(cbrt.f64 (+.f64 th -2))
(expm1.f64 (log1p.f64 (+.f64 th -2)))
(+.f64 th -2)
(hypot.f64 -2 th)
(exp.f64 (log1p.f64 th))
(exp.f64 (*.f64 (log1p.f64 th) -2))
(pow.f64 (exp.f64 (log1p.f64 th)) -2)
(log1p.f64 (expm1.f64 (+.f64 th -2)))
(+.f64 th -2)
(fma.f64 th th -2)
(fma.f64 th -2 -2)
(fma.f64 -2 th -2)
(fma.f64 th -2 -2)
(fma.f64 -2 -2 th)
(+.f64 4 th)
(+.f64 th 4)

eval216.0ms (1.2%)

Compiler: Compiled 12015 to 6272 computations (47.8% saved)

prune148.0ms (0.8%)

Pruning

35 alts after pruning (28 fresh and 7 done)

	Pruned	Kept	Total
New	678	21	699
Fresh	7	7	14
Picked	2	3	5
Done	0	4	4
Total	687	35	722

Accuracy

100.0%

Counts

722 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	63.1%	(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2))
✓	98.9%	(/.f64 (*.f64 (cos.f64 th) a2) (/.f64 (sqrt.f64 2) a2))
✓	62.8%	(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
	62.8%	(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
	2.7%	(/.f64 a2 -2)
	62.5%	(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
	5.5%	(/.f64 -2 (/.f64 -2 a2))
	66.3%	(.f64 (/.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (sqrt.f64 2)) (.f64 a2 a2))
✓	98.9%	(.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))
✓	62.9%	(*.f64 (/.f64 a2 (sqrt.f64 2)) a2)
	18.0%	(.f64 (/.f64 2 (/.f64 -2 (cos.f64 (+.f64 th th)))) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
	66.4%	(.f64 (.f64 (pow.f64 2 -1/2) (+.f64 1 (.f64 -1/2 (.f64 th th)))) (*.f64 a2 a2))
	19.7%	(.f64 (.f64 (+.f64 th -2) (/.f64 1 (-.f64 1 th))) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
✓	99.6%	(.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
	98.9%	(.f64 (.f64 (sqrt.f64 1/2) a2) (*.f64 (cos.f64 th) a2))
	62.8%	(.f64 (.f64 (sqrt.f64 1/2) a2) a2)
	19.9%	(.f64 (.f64 1/2 (neg.f64 a2)) a2)
	19.8%	(.f64 (.f64 1/4 (neg.f64 a2)) a2)
	19.7%	(.f64 (.f64 1/8 (neg.f64 a2)) a2)
	19.5%	(.f64 (.f64 1/16 (neg.f64 a2)) a2)
	19.4%	(.f64 (.f64 1/64 (neg.f64 a2)) a2)
	38.2%	(.f64 (.f64 -1/64 (neg.f64 a2)) a2)
	39.0%	(.f64 (.f64 -1/8 (neg.f64 a2)) a2)
	39.5%	(.f64 (.f64 -1/4 (neg.f64 a2)) a2)
	40.3%	(.f64 (.f64 -1/2 (neg.f64 a2)) a2)
	40.1%	(.f64 (.f64 -1 (neg.f64 a2)) a2)
	18.0%	(.f64 (.f64 -1 (cos.f64 (+.f64 th th))) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
	63.1%	(.f64 (sqrt.f64 1/2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
	99.0%	(.f64 (sqrt.f64 1/2) (.f64 a2 (*.f64 a2 (cos.f64 th))))
✓	62.8%	(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
	57.4%	(.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
	98.9%	(.f64 a2 (.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) a2)))
	2.7%	(neg.f64 a2)
	5.5%	a2
	3.7%	1

Compiler

Compiled 1004 to 599 computations (40.3% saved)

regimes319.0ms (1.7%)

Counts

64 → 1

Calls

Call 1

Inputs
1
a2
(neg.f64 a2)
(/.f64 a2 -2)
(/.f64 -2 (/.f64 -2 a2))
(.f64 (.f64 -1 (neg.f64 a2)) a2)
(.f64 (.f64 -1/2 (neg.f64 a2)) a2)
(.f64 (.f64 -1/4 (neg.f64 a2)) a2)
(.f64 (.f64 -1/8 (neg.f64 a2)) a2)
(.f64 (.f64 -1/64 (neg.f64 a2)) a2)
(.f64 (.f64 1/64 (neg.f64 a2)) a2)
(.f64 (.f64 1/16 (neg.f64 a2)) a2)
(.f64 (.f64 1/8 (neg.f64 a2)) a2)
(.f64 (.f64 1/4 (neg.f64 a2)) a2)
(.f64 (.f64 1/2 (neg.f64 a2)) a2)
(.f64 (.f64 (+.f64 th -2) (/.f64 1 (-.f64 1 th))) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(.f64 (.f64 (sqrt.f64 1/2) a2) a2)
(*.f64 (/.f64 a2 (sqrt.f64 2)) a2)
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a1 a1))
(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2))
(.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) 1)
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(.f64 (sqrt.f64 1/2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(.f64 (.f64 (/.f64 1 (neg.f64 (sqrt.f64 2))) (neg.f64 a2)) a2)
(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(.f64 (.f64 -1 (cos.f64 (+.f64 th th))) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
(.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) a2) (+.f64 1 (.f64 -1/2 (.f64 th th))))
(.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (+.f64 1 (.f64 -1/2 (.f64 th th))))
(.f64 (/.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (sqrt.f64 2)) (.f64 a1 a1))
(.f64 (/.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (sqrt.f64 2)) (.f64 a2 a2))
(/.f64 (.f64 (+.f64 1 (.f64 -1/2 (*.f64 th th))) a2) (/.f64 (sqrt.f64 2) a2))
(.f64 (.f64 (pow.f64 2 -1/2) (+.f64 1 (.f64 -1/2 (.f64 th th)))) (*.f64 a2 a2))
(.f64 (/.f64 2 (/.f64 -2 (cos.f64 (+.f64 th th)))) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(.f64 (/.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(.f64 (.f64 (pow.f64 2 -1/2) (+.f64 1 (.f64 -1/2 (.f64 th th)))) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
(sqrt.f64 (*.f64 (pow.f64 a2 4) 1/2))
(.f64 a2 (.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) a2)))
(.f64 (sqrt.f64 1/2) (.f64 a2 (*.f64 a2 (cos.f64 th))))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a2 a2)))
(.f64 (.f64 (sqrt.f64 1/2) a2) (*.f64 (cos.f64 th) a2))
(.f64 (.f64 (*.f64 a2 a2) (sqrt.f64 1/2)) (cos.f64 th))
(.f64 (.f64 (*.f64 (sqrt.f64 1/2) a2) a2) (cos.f64 th))
(.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) a2) (cos.f64 th))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))
(.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))
(/.f64 (*.f64 (cos.f64 th) a2) (/.f64 (sqrt.f64 2) a2))
(/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (sqrt.f64 2))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2))
(.f64 (pow.f64 1/4 1/4) (.f64 (cos.f64 th) (*.f64 a2 a2)))
(/.f64 (*.f64 (cos.f64 th) a2) (/.f64 (/.f64 1 a2) (sqrt.f64 1/2)))
(.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(.f64 (.f64 (pow.f64 2 -1/2) (cos.f64 th)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
(/.f64 (.f64 (cos.f64 th) (fma.f64 a1 a1 (.f64 a2 a2))) (sqrt.f64 2))
(/.f64 (.f64 (sqrt.f64 2) (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th))) 2)
(.f64 (/.f64 (/.f64 (cos.f64 th) (pow.f64 2 1/4)) (pow.f64 2 1/4)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)))
(/.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)) (pow.f64 2 1/4)) (pow.f64 2 1/4))
(/.f64 (.f64 (sqrt.f64 (cos.f64 th)) (hypot.f64 a2 a1)) (/.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (cos.f64 th)) (hypot.f64 a2 a1))))

Outputs
(/.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)) (pow.f64 2 1/4)) (pow.f64 2 1/4))

Calls

8 calls:

57.0ms	a2
52.0ms	(cos.f64 th)
47.0ms	a1
33.0ms	th
31.0ms	(*.f64 a2 a2)

Results

Accuracy	Segments	Branch
99.6%	1	`a1`
99.6%	1	`a2`
99.6%	1	`th`
99.6%	1	`(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)))`
99.6%	1	`(/.f64 (cos.f64 th) (sqrt.f64 2))`
99.6%	1	`(cos.f64 th)`
99.6%	1	`(*.f64 a1 a1)`
99.6%	1	`(*.f64 a2 a2)`

Compiler

Compiled 685 to 359 computations (47.6% saved)

regimes248.0ms (1.3%)

Counts

62 → 1

Calls

Call 1

Inputs
1
a2
(neg.f64 a2)
(/.f64 a2 -2)
(/.f64 -2 (/.f64 -2 a2))
(.f64 (.f64 -1 (neg.f64 a2)) a2)
(.f64 (.f64 -1/2 (neg.f64 a2)) a2)
(.f64 (.f64 -1/4 (neg.f64 a2)) a2)
(.f64 (.f64 -1/8 (neg.f64 a2)) a2)
(.f64 (.f64 -1/64 (neg.f64 a2)) a2)
(.f64 (.f64 1/64 (neg.f64 a2)) a2)
(.f64 (.f64 1/16 (neg.f64 a2)) a2)
(.f64 (.f64 1/8 (neg.f64 a2)) a2)
(.f64 (.f64 1/4 (neg.f64 a2)) a2)
(.f64 (.f64 1/2 (neg.f64 a2)) a2)
(.f64 (.f64 (+.f64 th -2) (/.f64 1 (-.f64 1 th))) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(.f64 (.f64 (sqrt.f64 1/2) a2) a2)
(*.f64 (/.f64 a2 (sqrt.f64 2)) a2)
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a1 a1))
(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2))
(.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) 1)
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(.f64 (sqrt.f64 1/2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(.f64 (.f64 (/.f64 1 (neg.f64 (sqrt.f64 2))) (neg.f64 a2)) a2)
(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(.f64 (.f64 -1 (cos.f64 (+.f64 th th))) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
(.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) a2) (+.f64 1 (.f64 -1/2 (.f64 th th))))
(.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (+.f64 1 (.f64 -1/2 (.f64 th th))))
(.f64 (/.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (sqrt.f64 2)) (.f64 a1 a1))
(.f64 (/.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (sqrt.f64 2)) (.f64 a2 a2))
(/.f64 (.f64 (+.f64 1 (.f64 -1/2 (*.f64 th th))) a2) (/.f64 (sqrt.f64 2) a2))
(.f64 (.f64 (pow.f64 2 -1/2) (+.f64 1 (.f64 -1/2 (.f64 th th)))) (*.f64 a2 a2))
(.f64 (/.f64 2 (/.f64 -2 (cos.f64 (+.f64 th th)))) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(.f64 (/.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(.f64 (.f64 (pow.f64 2 -1/2) (+.f64 1 (.f64 -1/2 (.f64 th th)))) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
(sqrt.f64 (*.f64 (pow.f64 a2 4) 1/2))
(.f64 a2 (.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) a2)))
(.f64 (sqrt.f64 1/2) (.f64 a2 (*.f64 a2 (cos.f64 th))))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a2 a2)))
(.f64 (.f64 (sqrt.f64 1/2) a2) (*.f64 (cos.f64 th) a2))
(.f64 (.f64 (*.f64 a2 a2) (sqrt.f64 1/2)) (cos.f64 th))
(.f64 (.f64 (*.f64 (sqrt.f64 1/2) a2) a2) (cos.f64 th))
(.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) a2) (cos.f64 th))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))
(.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))
(/.f64 (*.f64 (cos.f64 th) a2) (/.f64 (sqrt.f64 2) a2))
(/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (sqrt.f64 2))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2))
(.f64 (pow.f64 1/4 1/4) (.f64 (cos.f64 th) (*.f64 a2 a2)))
(/.f64 (*.f64 (cos.f64 th) a2) (/.f64 (/.f64 1 a2) (sqrt.f64 1/2)))
(.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(.f64 (.f64 (pow.f64 2 -1/2) (cos.f64 th)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
(/.f64 (.f64 (cos.f64 th) (fma.f64 a1 a1 (.f64 a2 a2))) (sqrt.f64 2))
(/.f64 (.f64 (sqrt.f64 2) (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th))) 2)
(.f64 (/.f64 (/.f64 (cos.f64 th) (pow.f64 2 1/4)) (pow.f64 2 1/4)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)))

Outputs
(.f64 (/.f64 (/.f64 (cos.f64 th) (pow.f64 2 1/4)) (pow.f64 2 1/4)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))

Calls

8 calls:

64.0ms	a2
30.0ms	a1
29.0ms	th
26.0ms	(cos.f64 th)
24.0ms	(*.f64 a2 a2)

Results

Accuracy	Segments	Branch
99.6%	1	`a1`
99.6%	1	`a2`
99.6%	1	`th`
99.6%	1	`(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)))`
99.6%	1	`(/.f64 (cos.f64 th) (sqrt.f64 2))`
99.6%	1	`(cos.f64 th)`
99.6%	1	`(*.f64 a1 a1)`
99.6%	1	`(*.f64 a2 a2)`

Compiler

Compiled 651 to 341 computations (47.6% saved)

regimes220.0ms (1.2%)

Counts

60 → 1

Calls

Call 1

Inputs
1
a2
(neg.f64 a2)
(/.f64 a2 -2)
(/.f64 -2 (/.f64 -2 a2))
(.f64 (.f64 -1 (neg.f64 a2)) a2)
(.f64 (.f64 -1/2 (neg.f64 a2)) a2)
(.f64 (.f64 -1/4 (neg.f64 a2)) a2)
(.f64 (.f64 -1/8 (neg.f64 a2)) a2)
(.f64 (.f64 -1/64 (neg.f64 a2)) a2)
(.f64 (.f64 1/64 (neg.f64 a2)) a2)
(.f64 (.f64 1/16 (neg.f64 a2)) a2)
(.f64 (.f64 1/8 (neg.f64 a2)) a2)
(.f64 (.f64 1/4 (neg.f64 a2)) a2)
(.f64 (.f64 1/2 (neg.f64 a2)) a2)
(.f64 (.f64 (+.f64 th -2) (/.f64 1 (-.f64 1 th))) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(.f64 (.f64 (sqrt.f64 1/2) a2) a2)
(*.f64 (/.f64 a2 (sqrt.f64 2)) a2)
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a1 a1))
(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2))
(.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) 1)
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(.f64 (sqrt.f64 1/2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(.f64 (.f64 (/.f64 1 (neg.f64 (sqrt.f64 2))) (neg.f64 a2)) a2)
(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(.f64 (.f64 -1 (cos.f64 (+.f64 th th))) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
(.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) a2) (+.f64 1 (.f64 -1/2 (.f64 th th))))
(.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (+.f64 1 (.f64 -1/2 (.f64 th th))))
(.f64 (/.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (sqrt.f64 2)) (.f64 a1 a1))
(.f64 (/.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (sqrt.f64 2)) (.f64 a2 a2))
(/.f64 (.f64 (+.f64 1 (.f64 -1/2 (*.f64 th th))) a2) (/.f64 (sqrt.f64 2) a2))
(.f64 (.f64 (pow.f64 2 -1/2) (+.f64 1 (.f64 -1/2 (.f64 th th)))) (*.f64 a2 a2))
(.f64 (/.f64 2 (/.f64 -2 (cos.f64 (+.f64 th th)))) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(.f64 (/.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(.f64 (.f64 (pow.f64 2 -1/2) (+.f64 1 (.f64 -1/2 (.f64 th th)))) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
(sqrt.f64 (*.f64 (pow.f64 a2 4) 1/2))
(.f64 a2 (.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) a2)))
(.f64 (sqrt.f64 1/2) (.f64 a2 (*.f64 a2 (cos.f64 th))))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a2 a2)))
(.f64 (.f64 (sqrt.f64 1/2) a2) (*.f64 (cos.f64 th) a2))
(.f64 (.f64 (*.f64 a2 a2) (sqrt.f64 1/2)) (cos.f64 th))
(.f64 (.f64 (*.f64 (sqrt.f64 1/2) a2) a2) (cos.f64 th))
(.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) a2) (cos.f64 th))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))
(.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))
(/.f64 (*.f64 (cos.f64 th) a2) (/.f64 (sqrt.f64 2) a2))
(/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (sqrt.f64 2))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2))
(.f64 (pow.f64 1/4 1/4) (.f64 (cos.f64 th) (*.f64 a2 a2)))
(/.f64 (*.f64 (cos.f64 th) a2) (/.f64 (/.f64 1 a2) (sqrt.f64 1/2)))
(.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(.f64 (.f64 (pow.f64 2 -1/2) (cos.f64 th)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
(/.f64 (.f64 (cos.f64 th) (fma.f64 a1 a1 (.f64 a2 a2))) (sqrt.f64 2))
(/.f64 (.f64 (sqrt.f64 2) (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th))) 2)

Outputs
(.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))

Calls

7 calls:

35.0ms	a1
33.0ms	a2
32.0ms	th
27.0ms	(*.f64 a2 a2)
26.0ms	(/.f64 (cos.f64 th) (sqrt.f64 2))

Results

Accuracy	Segments	Branch
99.6%	1	`a1`
99.6%	1	`a2`
99.6%	1	`th`
99.6%	1	`(/.f64 (cos.f64 th) (sqrt.f64 2))`
99.6%	1	`(cos.f64 th)`
99.6%	1	`(*.f64 a1 a1)`
99.6%	1	`(*.f64 a2 a2)`

Compiler

Compiled 592 to 308 computations (48% saved)

regimes192.0ms (1%)

Counts

55 → 1

Calls

Call 1

Inputs
1
a2
(neg.f64 a2)
(/.f64 a2 -2)
(/.f64 -2 (/.f64 -2 a2))
(.f64 (.f64 -1 (neg.f64 a2)) a2)
(.f64 (.f64 -1/2 (neg.f64 a2)) a2)
(.f64 (.f64 -1/4 (neg.f64 a2)) a2)
(.f64 (.f64 -1/8 (neg.f64 a2)) a2)
(.f64 (.f64 -1/64 (neg.f64 a2)) a2)
(.f64 (.f64 1/64 (neg.f64 a2)) a2)
(.f64 (.f64 1/16 (neg.f64 a2)) a2)
(.f64 (.f64 1/8 (neg.f64 a2)) a2)
(.f64 (.f64 1/4 (neg.f64 a2)) a2)
(.f64 (.f64 1/2 (neg.f64 a2)) a2)
(.f64 (.f64 (+.f64 th -2) (/.f64 1 (-.f64 1 th))) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(.f64 (.f64 (sqrt.f64 1/2) a2) a2)
(*.f64 (/.f64 a2 (sqrt.f64 2)) a2)
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a1 a1))
(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2))
(.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) 1)
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(.f64 (sqrt.f64 1/2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(.f64 (.f64 (/.f64 1 (neg.f64 (sqrt.f64 2))) (neg.f64 a2)) a2)
(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(.f64 (.f64 -1 (cos.f64 (+.f64 th th))) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
(.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) a2) (+.f64 1 (.f64 -1/2 (.f64 th th))))
(.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (+.f64 1 (.f64 -1/2 (.f64 th th))))
(.f64 (/.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (sqrt.f64 2)) (.f64 a1 a1))
(.f64 (/.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (sqrt.f64 2)) (.f64 a2 a2))
(/.f64 (.f64 (+.f64 1 (.f64 -1/2 (*.f64 th th))) a2) (/.f64 (sqrt.f64 2) a2))
(.f64 (.f64 (pow.f64 2 -1/2) (+.f64 1 (.f64 -1/2 (.f64 th th)))) (*.f64 a2 a2))
(.f64 (/.f64 2 (/.f64 -2 (cos.f64 (+.f64 th th)))) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(.f64 (/.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(.f64 (.f64 (pow.f64 2 -1/2) (+.f64 1 (.f64 -1/2 (.f64 th th)))) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
(sqrt.f64 (*.f64 (pow.f64 a2 4) 1/2))
(.f64 a2 (.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) a2)))
(.f64 (sqrt.f64 1/2) (.f64 a2 (*.f64 a2 (cos.f64 th))))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a2 a2)))
(.f64 (.f64 (sqrt.f64 1/2) a2) (*.f64 (cos.f64 th) a2))
(.f64 (.f64 (*.f64 a2 a2) (sqrt.f64 1/2)) (cos.f64 th))
(.f64 (.f64 (*.f64 (sqrt.f64 1/2) a2) a2) (cos.f64 th))
(.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) a2) (cos.f64 th))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))
(.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))
(/.f64 (*.f64 (cos.f64 th) a2) (/.f64 (sqrt.f64 2) a2))
(/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (sqrt.f64 2))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2))
(.f64 (pow.f64 1/4 1/4) (.f64 (cos.f64 th) (*.f64 a2 a2)))
(/.f64 (*.f64 (cos.f64 th) a2) (/.f64 (/.f64 1 a2) (sqrt.f64 1/2)))

Outputs
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a2 a2)))

Calls

7 calls:

31.0ms	a2
30.0ms	a1
29.0ms	th
25.0ms	(cos.f64 th)
24.0ms	(*.f64 a2 a2)

Results

Accuracy	Segments	Branch
99.0%	1	`a1`
99.0%	1	`a2`
99.0%	1	`th`
99.0%	1	`(/.f64 (cos.f64 th) (sqrt.f64 2))`
99.0%	1	`(cos.f64 th)`
99.0%	1	`(*.f64 a1 a1)`
99.0%	1	`(*.f64 a2 a2)`

Compiler

Compiled 526 to 284 computations (46% saved)

regimes121.0ms (0.7%)

Counts

43 → 1

Calls

Call 1

Inputs
1
a2
(neg.f64 a2)
(/.f64 a2 -2)
(/.f64 -2 (/.f64 -2 a2))
(.f64 (.f64 -1 (neg.f64 a2)) a2)
(.f64 (.f64 -1/2 (neg.f64 a2)) a2)
(.f64 (.f64 -1/4 (neg.f64 a2)) a2)
(.f64 (.f64 -1/8 (neg.f64 a2)) a2)
(.f64 (.f64 -1/64 (neg.f64 a2)) a2)
(.f64 (.f64 1/64 (neg.f64 a2)) a2)
(.f64 (.f64 1/16 (neg.f64 a2)) a2)
(.f64 (.f64 1/8 (neg.f64 a2)) a2)
(.f64 (.f64 1/4 (neg.f64 a2)) a2)
(.f64 (.f64 1/2 (neg.f64 a2)) a2)
(.f64 (.f64 (+.f64 th -2) (/.f64 1 (-.f64 1 th))) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(.f64 (.f64 (sqrt.f64 1/2) a2) a2)
(*.f64 (/.f64 a2 (sqrt.f64 2)) a2)
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a1 a1))
(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2))
(.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) 1)
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(.f64 (sqrt.f64 1/2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(.f64 (.f64 (/.f64 1 (neg.f64 (sqrt.f64 2))) (neg.f64 a2)) a2)
(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(.f64 (.f64 -1 (cos.f64 (+.f64 th th))) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
(.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) a2) (+.f64 1 (.f64 -1/2 (.f64 th th))))
(.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (+.f64 1 (.f64 -1/2 (.f64 th th))))
(.f64 (/.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (sqrt.f64 2)) (.f64 a1 a1))
(.f64 (/.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (sqrt.f64 2)) (.f64 a2 a2))
(/.f64 (.f64 (+.f64 1 (.f64 -1/2 (*.f64 th th))) a2) (/.f64 (sqrt.f64 2) a2))
(.f64 (.f64 (pow.f64 2 -1/2) (+.f64 1 (.f64 -1/2 (.f64 th th)))) (*.f64 a2 a2))
(.f64 (/.f64 2 (/.f64 -2 (cos.f64 (+.f64 th th)))) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(.f64 (/.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(.f64 (.f64 (pow.f64 2 -1/2) (+.f64 1 (.f64 -1/2 (.f64 th th)))) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
(sqrt.f64 (*.f64 (pow.f64 a2 4) 1/2))
(.f64 a2 (.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) a2)))
(.f64 (sqrt.f64 1/2) (.f64 a2 (*.f64 a2 (cos.f64 th))))

Outputs
(.f64 (sqrt.f64 1/2) (.f64 a2 (*.f64 a2 (cos.f64 th))))

Calls

6 calls:

23.0ms	th
21.0ms	a2
20.0ms	a1
17.0ms	(cos.f64 th)
17.0ms	(*.f64 a2 a2)

Results

Accuracy	Segments	Branch
99.0%	1	`(*.f64 a1 a1)`
99.0%	1	`a1`
99.0%	1	`a2`
99.0%	1	`th`
99.0%	1	`(cos.f64 th)`
99.0%	1	`(*.f64 a2 a2)`

Compiler

Compiled 407 to 225 computations (44.7% saved)

regimes133.0ms (0.7%)

Counts

42 → 1

Calls

Call 1

Inputs
1
a2
(neg.f64 a2)
(/.f64 a2 -2)
(/.f64 -2 (/.f64 -2 a2))
(.f64 (.f64 -1 (neg.f64 a2)) a2)
(.f64 (.f64 -1/2 (neg.f64 a2)) a2)
(.f64 (.f64 -1/4 (neg.f64 a2)) a2)
(.f64 (.f64 -1/8 (neg.f64 a2)) a2)
(.f64 (.f64 -1/64 (neg.f64 a2)) a2)
(.f64 (.f64 1/64 (neg.f64 a2)) a2)
(.f64 (.f64 1/16 (neg.f64 a2)) a2)
(.f64 (.f64 1/8 (neg.f64 a2)) a2)
(.f64 (.f64 1/4 (neg.f64 a2)) a2)
(.f64 (.f64 1/2 (neg.f64 a2)) a2)
(.f64 (.f64 (+.f64 th -2) (/.f64 1 (-.f64 1 th))) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(.f64 (.f64 (sqrt.f64 1/2) a2) a2)
(*.f64 (/.f64 a2 (sqrt.f64 2)) a2)
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a1 a1))
(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2))
(.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) 1)
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(.f64 (sqrt.f64 1/2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(.f64 (.f64 (/.f64 1 (neg.f64 (sqrt.f64 2))) (neg.f64 a2)) a2)
(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(.f64 (.f64 -1 (cos.f64 (+.f64 th th))) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
(.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) a2) (+.f64 1 (.f64 -1/2 (.f64 th th))))
(.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (+.f64 1 (.f64 -1/2 (.f64 th th))))
(.f64 (/.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (sqrt.f64 2)) (.f64 a1 a1))
(.f64 (/.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (sqrt.f64 2)) (.f64 a2 a2))
(/.f64 (.f64 (+.f64 1 (.f64 -1/2 (*.f64 th th))) a2) (/.f64 (sqrt.f64 2) a2))
(.f64 (.f64 (pow.f64 2 -1/2) (+.f64 1 (.f64 -1/2 (.f64 th th)))) (*.f64 a2 a2))
(.f64 (/.f64 2 (/.f64 -2 (cos.f64 (+.f64 th th)))) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(.f64 (/.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(.f64 (.f64 (pow.f64 2 -1/2) (+.f64 1 (.f64 -1/2 (.f64 th th)))) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
(sqrt.f64 (*.f64 (pow.f64 a2 4) 1/2))
(.f64 a2 (.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) a2)))

Outputs
(.f64 a2 (.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) a2)))

Calls

6 calls:

27.0ms	a2
24.0ms	th
22.0ms	a1
20.0ms	(cos.f64 th)
17.0ms	(*.f64 a2 a2)

Results

Accuracy	Segments	Branch
98.9%	1	`a1`
98.9%	1	`a2`
98.9%	1	`th`
98.9%	1	`(cos.f64 th)`
98.9%	1	`(*.f64 a1 a1)`
98.9%	1	`(*.f64 a2 a2)`

Compiler

Compiled 398 to 220 computations (44.7% saved)

regimes236.0ms (1.3%)

Counts

41 → 2

Calls

Call 1

Inputs
1
a2
(neg.f64 a2)
(/.f64 a2 -2)
(/.f64 -2 (/.f64 -2 a2))
(.f64 (.f64 -1 (neg.f64 a2)) a2)
(.f64 (.f64 -1/2 (neg.f64 a2)) a2)
(.f64 (.f64 -1/4 (neg.f64 a2)) a2)
(.f64 (.f64 -1/8 (neg.f64 a2)) a2)
(.f64 (.f64 -1/64 (neg.f64 a2)) a2)
(.f64 (.f64 1/64 (neg.f64 a2)) a2)
(.f64 (.f64 1/16 (neg.f64 a2)) a2)
(.f64 (.f64 1/8 (neg.f64 a2)) a2)
(.f64 (.f64 1/4 (neg.f64 a2)) a2)
(.f64 (.f64 1/2 (neg.f64 a2)) a2)
(.f64 (.f64 (+.f64 th -2) (/.f64 1 (-.f64 1 th))) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(.f64 (.f64 (sqrt.f64 1/2) a2) a2)
(*.f64 (/.f64 a2 (sqrt.f64 2)) a2)
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a1 a1))
(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2))
(.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) 1)
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(.f64 (sqrt.f64 1/2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(.f64 (.f64 (/.f64 1 (neg.f64 (sqrt.f64 2))) (neg.f64 a2)) a2)
(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(.f64 (.f64 -1 (cos.f64 (+.f64 th th))) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
(.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) a2) (+.f64 1 (.f64 -1/2 (.f64 th th))))
(.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (+.f64 1 (.f64 -1/2 (.f64 th th))))
(.f64 (/.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (sqrt.f64 2)) (.f64 a1 a1))
(.f64 (/.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (sqrt.f64 2)) (.f64 a2 a2))
(/.f64 (.f64 (+.f64 1 (.f64 -1/2 (*.f64 th th))) a2) (/.f64 (sqrt.f64 2) a2))
(.f64 (.f64 (pow.f64 2 -1/2) (+.f64 1 (.f64 -1/2 (.f64 th th)))) (*.f64 a2 a2))
(.f64 (/.f64 2 (/.f64 -2 (cos.f64 (+.f64 th th)))) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(.f64 (/.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(.f64 (.f64 (pow.f64 2 -1/2) (+.f64 1 (.f64 -1/2 (.f64 th th)))) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
(sqrt.f64 (*.f64 (pow.f64 a2 4) 1/2))

Outputs
(.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(.f64 (sqrt.f64 1/2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))

Calls

6 calls:

57.0ms	a1
38.0ms	th
37.0ms	a2
33.0ms	(*.f64 a2 a2)
29.0ms	(cos.f64 th)

Results

Accuracy	Segments	Branch
69.3%	2	`a1`
78.0%	2	`a2`
80.3%	2	`th`
80.4%	2	`(cos.f64 th)`
69.3%	2	`(*.f64 a1 a1)`
78.0%	2	`(*.f64 a2 a2)`

Compiler

Compiled 389 to 215 computations (44.7% saved)

regimes52.0ms (0.3%)

Counts

27 → 2

Calls

Call 1

Inputs
1
a2
(neg.f64 a2)
(/.f64 a2 -2)
(/.f64 -2 (/.f64 -2 a2))
(.f64 (.f64 -1 (neg.f64 a2)) a2)
(.f64 (.f64 -1/2 (neg.f64 a2)) a2)
(.f64 (.f64 -1/4 (neg.f64 a2)) a2)
(.f64 (.f64 -1/8 (neg.f64 a2)) a2)
(.f64 (.f64 -1/64 (neg.f64 a2)) a2)
(.f64 (.f64 1/64 (neg.f64 a2)) a2)
(.f64 (.f64 1/16 (neg.f64 a2)) a2)
(.f64 (.f64 1/8 (neg.f64 a2)) a2)
(.f64 (.f64 1/4 (neg.f64 a2)) a2)
(.f64 (.f64 1/2 (neg.f64 a2)) a2)
(.f64 (.f64 (+.f64 th -2) (/.f64 1 (-.f64 1 th))) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(.f64 (.f64 (sqrt.f64 1/2) a2) a2)
(*.f64 (/.f64 a2 (sqrt.f64 2)) a2)
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a1 a1))
(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2))
(.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) 1)
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))

Outputs
(.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(*.f64 (/.f64 a2 (sqrt.f64 2)) a2)

Calls

2 calls:

26.0ms	th
20.0ms	(cos.f64 th)

Results

Accuracy	Segments	Branch
80.0%	2	`th`
80.1%	2	`(cos.f64 th)`

Compiler

Compiled 179 to 102 computations (43% saved)

regimes125.0ms (0.7%)

Counts

26 → 4

Calls

Call 1

Inputs
1
a2
(neg.f64 a2)
(/.f64 a2 -2)
(/.f64 -2 (/.f64 -2 a2))
(.f64 (.f64 -1 (neg.f64 a2)) a2)
(.f64 (.f64 -1/2 (neg.f64 a2)) a2)
(.f64 (.f64 -1/4 (neg.f64 a2)) a2)
(.f64 (.f64 -1/8 (neg.f64 a2)) a2)
(.f64 (.f64 -1/64 (neg.f64 a2)) a2)
(.f64 (.f64 1/64 (neg.f64 a2)) a2)
(.f64 (.f64 1/16 (neg.f64 a2)) a2)
(.f64 (.f64 1/8 (neg.f64 a2)) a2)
(.f64 (.f64 1/4 (neg.f64 a2)) a2)
(.f64 (.f64 1/2 (neg.f64 a2)) a2)
(.f64 (.f64 (+.f64 th -2) (/.f64 1 (-.f64 1 th))) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(.f64 (.f64 (sqrt.f64 1/2) a2) a2)
(*.f64 (/.f64 a2 (sqrt.f64 2)) a2)
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a1 a1))
(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2))
(.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) 1)
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))

Outputs
(*.f64 (/.f64 a2 (sqrt.f64 2)) a2)
(.f64 (.f64 1/2 (neg.f64 a2)) a2)
(.f64 (.f64 -1/4 (neg.f64 a2)) a2)
(.f64 (.f64 1/2 (neg.f64 a2)) a2)

Calls

5 calls:

50.0ms	th
34.0ms	a2
17.0ms	a1
11.0ms	(*.f64 a2 a2)
7.0ms	(*.f64 a1 a1)

Results

Accuracy	Segments	Branch
62.9%	1	`(*.f64 a1 a1)`
62.9%	1	`a1`
64.8%	3	`a2`
62.9%	1	`(*.f64 a2 a2)`
70.8%	4	`th`

Compiler

Compiled 184 to 110 computations (40.2% saved)

regimes48.0ms (0.3%)

Counts

18 → 4

Calls

Call 1

Inputs
1
a2
(neg.f64 a2)
(/.f64 a2 -2)
(/.f64 -2 (/.f64 -2 a2))
(.f64 (.f64 -1 (neg.f64 a2)) a2)
(.f64 (.f64 -1/2 (neg.f64 a2)) a2)
(.f64 (.f64 -1/4 (neg.f64 a2)) a2)
(.f64 (.f64 -1/8 (neg.f64 a2)) a2)
(.f64 (.f64 -1/64 (neg.f64 a2)) a2)
(.f64 (.f64 1/64 (neg.f64 a2)) a2)
(.f64 (.f64 1/16 (neg.f64 a2)) a2)
(.f64 (.f64 1/8 (neg.f64 a2)) a2)
(.f64 (.f64 1/4 (neg.f64 a2)) a2)
(.f64 (.f64 1/2 (neg.f64 a2)) a2)
(.f64 (.f64 (+.f64 th -2) (/.f64 1 (-.f64 1 th))) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(.f64 (.f64 (sqrt.f64 1/2) a2) a2)

Outputs
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(.f64 (.f64 1/2 (neg.f64 a2)) a2)
(.f64 (.f64 -1/4 (neg.f64 a2)) a2)
(.f64 (.f64 1/2 (neg.f64 a2)) a2)

Calls

1 calls:

44.0ms

th

Results

Accuracy	Segments	Branch
70.7%	4	`th`

Compiler

Compiled 108 to 62 computations (42.6% saved)

regimes92.0ms (0.5%)

Counts

16 → 4

Calls

Call 1

Inputs
1
a2
(neg.f64 a2)
(/.f64 a2 -2)
(/.f64 -2 (/.f64 -2 a2))
(.f64 (.f64 -1 (neg.f64 a2)) a2)
(.f64 (.f64 -1/2 (neg.f64 a2)) a2)
(.f64 (.f64 -1/4 (neg.f64 a2)) a2)
(.f64 (.f64 -1/8 (neg.f64 a2)) a2)
(.f64 (.f64 -1/64 (neg.f64 a2)) a2)
(.f64 (.f64 1/64 (neg.f64 a2)) a2)
(.f64 (.f64 1/16 (neg.f64 a2)) a2)
(.f64 (.f64 1/8 (neg.f64 a2)) a2)
(.f64 (.f64 1/4 (neg.f64 a2)) a2)
(.f64 (.f64 1/2 (neg.f64 a2)) a2)
(.f64 (.f64 (+.f64 th -2) (/.f64 1 (-.f64 1 th))) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))

Outputs
(.f64 (.f64 -1 (neg.f64 a2)) a2)
(.f64 (.f64 1/2 (neg.f64 a2)) a2)
(.f64 (.f64 -1/4 (neg.f64 a2)) a2)
(.f64 (.f64 1/2 (neg.f64 a2)) a2)

Calls

5 calls:

38.0ms	th
27.0ms	a2
10.0ms	a1
8.0ms	(*.f64 a2 a2)
4.0ms	(*.f64 a1 a1)

Results

Accuracy	Segments	Branch
42.2%	3	`a2`
40.3%	1	`a1`
40.3%	1	`(*.f64 a1 a1)`
40.3%	1	`(*.f64 a2 a2)`
48.2%	4	`th`

Compiler

Compiled 116 to 69 computations (40.5% saved)

regimes42.0ms (0.2%)

Counts

14 → 4

Calls

Call 1

Inputs
1
a2
(neg.f64 a2)
(/.f64 a2 -2)
(/.f64 -2 (/.f64 -2 a2))
(.f64 (.f64 -1 (neg.f64 a2)) a2)
(.f64 (.f64 -1/2 (neg.f64 a2)) a2)
(.f64 (.f64 -1/4 (neg.f64 a2)) a2)
(.f64 (.f64 -1/8 (neg.f64 a2)) a2)
(.f64 (.f64 -1/64 (neg.f64 a2)) a2)
(.f64 (.f64 1/64 (neg.f64 a2)) a2)
(.f64 (.f64 1/16 (neg.f64 a2)) a2)
(.f64 (.f64 1/8 (neg.f64 a2)) a2)
(.f64 (.f64 1/4 (neg.f64 a2)) a2)

Outputs
(.f64 (.f64 -1 (neg.f64 a2)) a2)
(.f64 (.f64 1/4 (neg.f64 a2)) a2)
(.f64 (.f64 -1/4 (neg.f64 a2)) a2)
(.f64 (.f64 1/4 (neg.f64 a2)) a2)

Calls

1 calls:

35.0ms

th

Results

Accuracy	Segments	Branch
48.0%	4	`th`

Compiler

Compiled 73 to 41 computations (43.8% saved)

regimes31.0ms (0.2%)

Counts

13 → 4

Calls

Call 1

Inputs
1
a2
(neg.f64 a2)
(/.f64 a2 -2)
(/.f64 -2 (/.f64 -2 a2))
(.f64 (.f64 -1 (neg.f64 a2)) a2)
(.f64 (.f64 -1/2 (neg.f64 a2)) a2)
(.f64 (.f64 -1/4 (neg.f64 a2)) a2)
(.f64 (.f64 -1/8 (neg.f64 a2)) a2)
(.f64 (.f64 -1/64 (neg.f64 a2)) a2)
(.f64 (.f64 1/64 (neg.f64 a2)) a2)
(.f64 (.f64 1/16 (neg.f64 a2)) a2)
(.f64 (.f64 1/8 (neg.f64 a2)) a2)

Outputs
(.f64 (.f64 -1 (neg.f64 a2)) a2)
(.f64 (.f64 1/8 (neg.f64 a2)) a2)
(.f64 (.f64 -1/4 (neg.f64 a2)) a2)
(.f64 (.f64 1/8 (neg.f64 a2)) a2)

Calls

1 calls:

29.0ms

th

Results

Accuracy	Segments	Branch
47.9%	4	`th`

Compiler

Compiled 67 to 38 computations (43.3% saved)

regimes29.0ms (0.2%)

Counts

12 → 4

Calls

Call 1

Inputs
1
a2
(neg.f64 a2)
(/.f64 a2 -2)
(/.f64 -2 (/.f64 -2 a2))
(.f64 (.f64 -1 (neg.f64 a2)) a2)
(.f64 (.f64 -1/2 (neg.f64 a2)) a2)
(.f64 (.f64 -1/4 (neg.f64 a2)) a2)
(.f64 (.f64 -1/8 (neg.f64 a2)) a2)
(.f64 (.f64 -1/64 (neg.f64 a2)) a2)
(.f64 (.f64 1/64 (neg.f64 a2)) a2)
(.f64 (.f64 1/16 (neg.f64 a2)) a2)

Outputs
(.f64 (.f64 -1 (neg.f64 a2)) a2)
(.f64 (.f64 1/16 (neg.f64 a2)) a2)
(.f64 (.f64 -1/4 (neg.f64 a2)) a2)
(.f64 (.f64 1/16 (neg.f64 a2)) a2)

Calls

1 calls:

27.0ms

th

Results

Accuracy	Segments	Branch
47.8%	4	`th`

Compiler

Compiled 61 to 35 computations (42.6% saved)

regimes28.0ms (0.1%)

Counts

11 → 4

Calls

Call 1

Inputs
1
a2
(neg.f64 a2)
(/.f64 a2 -2)
(/.f64 -2 (/.f64 -2 a2))
(.f64 (.f64 -1 (neg.f64 a2)) a2)
(.f64 (.f64 -1/2 (neg.f64 a2)) a2)
(.f64 (.f64 -1/4 (neg.f64 a2)) a2)
(.f64 (.f64 -1/8 (neg.f64 a2)) a2)
(.f64 (.f64 -1/64 (neg.f64 a2)) a2)
(.f64 (.f64 1/64 (neg.f64 a2)) a2)

Outputs
(.f64 (.f64 -1 (neg.f64 a2)) a2)
(.f64 (.f64 1/64 (neg.f64 a2)) a2)
(.f64 (.f64 -1/4 (neg.f64 a2)) a2)
(.f64 (.f64 1/64 (neg.f64 a2)) a2)

Calls

1 calls:

25.0ms

th

Results

Accuracy	Segments	Branch
47.7%	4	`th`

Compiler

Compiled 55 to 32 computations (41.8% saved)

regimes9.0ms (0%)

Counts

10 → 1

Calls

Call 1

Inputs
1
a2
(neg.f64 a2)
(/.f64 a2 -2)
(/.f64 -2 (/.f64 -2 a2))
(.f64 (.f64 -1 (neg.f64 a2)) a2)
(.f64 (.f64 -1/2 (neg.f64 a2)) a2)
(.f64 (.f64 -1/4 (neg.f64 a2)) a2)
(.f64 (.f64 -1/8 (neg.f64 a2)) a2)
(.f64 (.f64 -1/64 (neg.f64 a2)) a2)

Outputs
(.f64 (.f64 -1/2 (neg.f64 a2)) a2)

Calls

1 calls:

7.0ms

th

Results

Accuracy	Segments	Branch
40.3%	1	`th`

Compiler

Compiled 49 to 29 computations (40.8% saved)

regimes12.0ms (0.1%)

Counts

6 → 1

Calls

Call 1

Inputs
1
a2
(neg.f64 a2)
(/.f64 a2 -2)
(/.f64 -2 (/.f64 -2 a2))
(.f64 (.f64 -1 (neg.f64 a2)) a2)

Outputs
(.f64 (.f64 -1 (neg.f64 a2)) a2)

Calls

2 calls:

5.0ms	a1
5.0ms	th

Results

Accuracy	Segments	Branch
40.1%	1	`a1`
40.1%	1	`th`

Compiler

Compiled 29 to 20 computations (31% saved)

regimes15.0ms (0.1%)

Counts

5 → 1

Calls

Call 1

Inputs
1
a2
(neg.f64 a2)
(/.f64 a2 -2)
(/.f64 -2 (/.f64 -2 a2))

Outputs
a2

Calls

3 calls:

5.0ms	a1
4.0ms	th
4.0ms	a2

Results

Accuracy	Segments	Branch
5.5%	1	`a2`
5.5%	1	`a1`
5.5%	1	`th`

Compiler

Compiled 27 to 20 computations (25.9% saved)

regimes10.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
1

Outputs
1

Calls

3 calls:

4.0ms	th
3.0ms	a2
3.0ms	a1

Results

Accuracy	Segments	Branch
3.7%	1	`a2`
3.7%	1	`th`
3.7%	1	`a1`

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.6889878493648752	0.7477485509691882

Compiler

Compiled 27 to 20 computations (25.9% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.6889878493648752	0.7477485509691882

Compiler

Compiled 27 to 20 computations (25.9% saved)

bsearch185.0ms (1%)

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
68.0ms	8.42491420016227e+227	2.6076438000920715e+238
92.0ms	5.462471884374716e+208	5.7380986008328295e+211
25.0ms	7.4024190668023095	15.013901321402747

Results

80.0ms	147×	body	1024	valid
72.0ms	135×	body	1024	infinite
16.0ms	54×	body	256	valid
9.0ms	32×	body	256	infinite

Compiler

Compiled 488 to 388 computations (20.5% saved)

bsearch136.0ms (0.7%)

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
67.0ms	8.42491420016227e+227	2.6076438000920715e+238
53.0ms	5.462471884374716e+208	5.7380986008328295e+211
16.0ms	7.4024190668023095	15.013901321402747

Results

64.0ms	162×	body	1024	valid
50.0ms	118×	body	1024	infinite
9.0ms	54×	body	256	valid
7.0ms	34×	body	256	infinite

Compiler

Compiled 488 to 388 computations (20.5% saved)

bsearch138.0ms (0.7%)

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
67.0ms	8.42491420016227e+227	2.6076438000920715e+238
55.0ms	5.462471884374716e+208	5.7380986008328295e+211
16.0ms	7.4024190668023095	15.013901321402747

Results

69.0ms	166×	body	1024	valid
49.0ms	118×	body	1024	infinite
9.0ms	47×	body	256	infinite
6.0ms	37×	body	256	valid

Compiler

Compiled 488 to 388 computations (20.5% saved)

bsearch136.0ms (0.7%)

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
67.0ms	8.42491420016227e+227	2.6076438000920715e+238
55.0ms	5.462471884374716e+208	5.7380986008328295e+211
14.0ms	7.4024190668023095	15.013901321402747

Results

61.0ms	152×	body	1024	infinite
56.0ms	134×	body	1024	valid
7.0ms	42×	body	256	valid
7.0ms	40×	body	256	infinite

Compiler

Compiled 488 to 388 computations (20.5% saved)

bsearch138.0ms (0.7%)

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
68.0ms	8.42491420016227e+227	2.6076438000920715e+238
54.0ms	5.462471884374716e+208	5.7380986008328295e+211
15.0ms	7.4024190668023095	15.013901321402747

Results

63.0ms	152×	body	1024	valid
54.0ms	134×	body	1024	infinite
8.0ms	43×	body	256	valid
7.0ms	39×	body	256	infinite

Compiler

Compiled 488 to 388 computations (20.5% saved)

bsearch134.0ms (0.7%)

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
66.0ms	8.42491420016227e+227	2.6076438000920715e+238
53.0ms	5.462471884374716e+208	5.7380986008328295e+211
15.0ms	7.4024190668023095	15.013901321402747

Results

63.0ms	156×	body	1024	valid
51.0ms	123×	body	1024	infinite
9.0ms	56×	body	256	valid
6.0ms	33×	body	256	infinite

Compiler

Compiled 488 to 388 computations (20.5% saved)

bsearch149.0ms (0.8%)

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
80.0ms	8.42491420016227e+227	2.6076438000920715e+238
54.0ms	5.462471884374716e+208	5.7380986008328295e+211
16.0ms	7.4024190668023095	15.013901321402747

Results

70.0ms	154×	body	1024	valid
58.0ms	133×	body	1024	infinite
7.0ms	44×	body	256	valid
7.0ms	37×	body	256	infinite

Compiler

Compiled 488 to 388 computations (20.5% saved)

simplify129.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

546×	`distribute-lft-neg-in`
326×	`neg-mul-1`
296×	`neg-sub0`
268×	`unsub-neg`
200×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	93	969
1	154	921
2	239	921
3	425	921
4	714	921
5	980	921
6	1143	921
7	1263	921
8	1334	921
9	1403	921
10	1485	921
11	1565	921
12	1618	921
13	1643	921
14	1650	921
15	1651	921

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)) (pow.f64 2 1/4)) (pow.f64 2 1/4))
(.f64 (/.f64 (/.f64 (cos.f64 th) (pow.f64 2 1/4)) (pow.f64 2 1/4)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a2 a2)))
(.f64 (sqrt.f64 1/2) (.f64 a2 (*.f64 a2 (cos.f64 th))))
(.f64 a2 (.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) a2)))
(if (<=.f64 (cos.f64 th) 3152519739159347/4503599627370496) (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (sqrt.f64 1/2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
(if (<=.f64 (cos.f64 th) 3152519739159347/4503599627370496) (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(if (<=.f64 th 8782019273372467/1125899906842624) (.f64 (/.f64 a2 (sqrt.f64 2)) a2) (if (<=.f64 th 164999999999999990163745595650513624756542616029795477069472373239695882889111734642914160072085017861774269196567390219319503652895495932400619736015095882809711115822929911200803624674188426591642387216334848) (.f64 (.f64 1/2 (neg.f64 a2)) a2) (if (<=.f64 th 265000000000000016689625252657394005785493556047671030423185115090293599731804908572705389141274339279844815484537319653647764105613313207688074998325097991415965088227784831665247215647255414319138271084439832612643862633299050496) (.f64 (.f64 -1/4 (neg.f64 a2)) a2) (.f64 (*.f64 1/2 (neg.f64 a2)) a2))))
(if (<=.f64 th 8782019273372467/1125899906842624) (.f64 (sqrt.f64 1/2) (.f64 a2 a2)) (if (<=.f64 th 164999999999999990163745595650513624756542616029795477069472373239695882889111734642914160072085017861774269196567390219319503652895495932400619736015095882809711115822929911200803624674188426591642387216334848) (.f64 (.f64 1/2 (neg.f64 a2)) a2) (if (<=.f64 th 265000000000000016689625252657394005785493556047671030423185115090293599731804908572705389141274339279844815484537319653647764105613313207688074998325097991415965088227784831665247215647255414319138271084439832612643862633299050496) (.f64 (.f64 -1/4 (neg.f64 a2)) a2) (.f64 (.f64 1/2 (neg.f64 a2)) a2))))
(if (<=.f64 th 8782019273372467/1125899906842624) (.f64 (.f64 -1 (neg.f64 a2)) a2) (if (<=.f64 th 164999999999999990163745595650513624756542616029795477069472373239695882889111734642914160072085017861774269196567390219319503652895495932400619736015095882809711115822929911200803624674188426591642387216334848) (.f64 (.f64 1/2 (neg.f64 a2)) a2) (if (<=.f64 th 265000000000000016689625252657394005785493556047671030423185115090293599731804908572705389141274339279844815484537319653647764105613313207688074998325097991415965088227784831665247215647255414319138271084439832612643862633299050496) (.f64 (.f64 -1/4 (neg.f64 a2)) a2) (.f64 (.f64 1/2 (neg.f64 a2)) a2))))
(if (<=.f64 th 8782019273372467/1125899906842624) (.f64 (.f64 -1 (neg.f64 a2)) a2) (if (<=.f64 th 164999999999999990163745595650513624756542616029795477069472373239695882889111734642914160072085017861774269196567390219319503652895495932400619736015095882809711115822929911200803624674188426591642387216334848) (.f64 (.f64 1/4 (neg.f64 a2)) a2) (if (<=.f64 th 265000000000000016689625252657394005785493556047671030423185115090293599731804908572705389141274339279844815484537319653647764105613313207688074998325097991415965088227784831665247215647255414319138271084439832612643862633299050496) (.f64 (.f64 -1/4 (neg.f64 a2)) a2) (.f64 (.f64 1/4 (neg.f64 a2)) a2))))
(if (<=.f64 th 8782019273372467/1125899906842624) (.f64 (.f64 -1 (neg.f64 a2)) a2) (if (<=.f64 th 164999999999999990163745595650513624756542616029795477069472373239695882889111734642914160072085017861774269196567390219319503652895495932400619736015095882809711115822929911200803624674188426591642387216334848) (.f64 (.f64 1/8 (neg.f64 a2)) a2) (if (<=.f64 th 265000000000000016689625252657394005785493556047671030423185115090293599731804908572705389141274339279844815484537319653647764105613313207688074998325097991415965088227784831665247215647255414319138271084439832612643862633299050496) (.f64 (.f64 -1/4 (neg.f64 a2)) a2) (.f64 (.f64 1/8 (neg.f64 a2)) a2))))
(if (<=.f64 th 8782019273372467/1125899906842624) (.f64 (.f64 -1 (neg.f64 a2)) a2) (if (<=.f64 th 164999999999999990163745595650513624756542616029795477069472373239695882889111734642914160072085017861774269196567390219319503652895495932400619736015095882809711115822929911200803624674188426591642387216334848) (.f64 (.f64 1/16 (neg.f64 a2)) a2) (if (<=.f64 th 265000000000000016689625252657394005785493556047671030423185115090293599731804908572705389141274339279844815484537319653647764105613313207688074998325097991415965088227784831665247215647255414319138271084439832612643862633299050496) (.f64 (.f64 -1/4 (neg.f64 a2)) a2) (.f64 (.f64 1/16 (neg.f64 a2)) a2))))
(if (<=.f64 th 8782019273372467/1125899906842624) (.f64 (.f64 -1 (neg.f64 a2)) a2) (if (<=.f64 th 164999999999999990163745595650513624756542616029795477069472373239695882889111734642914160072085017861774269196567390219319503652895495932400619736015095882809711115822929911200803624674188426591642387216334848) (.f64 (.f64 1/64 (neg.f64 a2)) a2) (if (<=.f64 th 265000000000000016689625252657394005785493556047671030423185115090293599731804908572705389141274339279844815484537319653647764105613313207688074998325097991415965088227784831665247215647255414319138271084439832612643862633299050496) (.f64 (.f64 -1/4 (neg.f64 a2)) a2) (.f64 (.f64 1/64 (neg.f64 a2)) a2))))
(.f64 (.f64 -1/2 (neg.f64 a2)) a2)
(.f64 (.f64 -1 (neg.f64 a2)) a2)
a2
1

Outputs
(/.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)) (pow.f64 2 1/4)) (pow.f64 2 1/4))
(.f64 (/.f64 (/.f64 (cos.f64 th) (pow.f64 2 1/4)) (pow.f64 2 1/4)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
(.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (cos.f64 th) (sqrt.f64 1/2)))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a2 a2)))
(.f64 (sqrt.f64 1/2) (.f64 a2 (*.f64 a2 (cos.f64 th))))
(.f64 (sqrt.f64 1/2) (.f64 a2 (*.f64 (cos.f64 th) a2)))
(.f64 a2 (.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) a2)))
(.f64 a2 (.f64 (cos.f64 th) (*.f64 a2 (sqrt.f64 1/2))))
(if (<=.f64 (cos.f64 th) 3152519739159347/4503599627370496) (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (sqrt.f64 1/2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
(if (<=.f64 (cos.f64 th) 3152519739159347/4503599627370496) (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 1/2)))
(if (<=.f64 (cos.f64 th) 3152519739159347/4503599627370496) (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(if (<=.f64 (cos.f64 th) 3152519739159347/4503599627370496) (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 a2 (/.f64 a2 (sqrt.f64 2))))
(if (<=.f64 th 8782019273372467/1125899906842624) (.f64 (/.f64 a2 (sqrt.f64 2)) a2) (if (<=.f64 th 164999999999999990163745595650513624756542616029795477069472373239695882889111734642914160072085017861774269196567390219319503652895495932400619736015095882809711115822929911200803624674188426591642387216334848) (.f64 (.f64 1/2 (neg.f64 a2)) a2) (if (<=.f64 th 265000000000000016689625252657394005785493556047671030423185115090293599731804908572705389141274339279844815484537319653647764105613313207688074998325097991415965088227784831665247215647255414319138271084439832612643862633299050496) (.f64 (.f64 -1/4 (neg.f64 a2)) a2) (.f64 (*.f64 1/2 (neg.f64 a2)) a2))))
(if (<=.f64 th 8782019273372467/1125899906842624) (.f64 a2 (/.f64 a2 (sqrt.f64 2))) (if (or (<=.f64 th 164999999999999990163745595650513624756542616029795477069472373239695882889111734642914160072085017861774269196567390219319503652895495932400619736015095882809711115822929911200803624674188426591642387216334848) (not (<=.f64 th 265000000000000016689625252657394005785493556047671030423185115090293599731804908572705389141274339279844815484537319653647764105613313207688074998325097991415965088227784831665247215647255414319138271084439832612643862633299050496))) (.f64 a2 (.f64 1/2 (neg.f64 a2))) (.f64 a2 (*.f64 (neg.f64 a2) -1/4))))
(if (<=.f64 th 8782019273372467/1125899906842624) (.f64 a2 (/.f64 a2 (sqrt.f64 2))) (if (or (<=.f64 th 164999999999999990163745595650513624756542616029795477069472373239695882889111734642914160072085017861774269196567390219319503652895495932400619736015095882809711115822929911200803624674188426591642387216334848) (not (<=.f64 th 265000000000000016689625252657394005785493556047671030423185115090293599731804908572705389141274339279844815484537319653647764105613313207688074998325097991415965088227784831665247215647255414319138271084439832612643862633299050496))) (.f64 a2 (.f64 (neg.f64 1/2) a2)) (.f64 a2 (*.f64 (neg.f64 -1/4) a2))))
(if (<=.f64 th 8782019273372467/1125899906842624) (.f64 a2 (/.f64 a2 (sqrt.f64 2))) (if (or (<=.f64 th 164999999999999990163745595650513624756542616029795477069472373239695882889111734642914160072085017861774269196567390219319503652895495932400619736015095882809711115822929911200803624674188426591642387216334848) (not (<=.f64 th 265000000000000016689625252657394005785493556047671030423185115090293599731804908572705389141274339279844815484537319653647764105613313207688074998325097991415965088227784831665247215647255414319138271084439832612643862633299050496))) (.f64 a2 (.f64 a2 (neg.f64 1/2))) (.f64 a2 (*.f64 a2 (neg.f64 -1/4)))))
(if (<=.f64 th 8782019273372467/1125899906842624) (.f64 (sqrt.f64 1/2) (.f64 a2 a2)) (if (<=.f64 th 164999999999999990163745595650513624756542616029795477069472373239695882889111734642914160072085017861774269196567390219319503652895495932400619736015095882809711115822929911200803624674188426591642387216334848) (.f64 (.f64 1/2 (neg.f64 a2)) a2) (if (<=.f64 th 265000000000000016689625252657394005785493556047671030423185115090293599731804908572705389141274339279844815484537319653647764105613313207688074998325097991415965088227784831665247215647255414319138271084439832612643862633299050496) (.f64 (.f64 -1/4 (neg.f64 a2)) a2) (.f64 (.f64 1/2 (neg.f64 a2)) a2))))
(if (<=.f64 th 8782019273372467/1125899906842624) (.f64 (.f64 a2 a2) (sqrt.f64 1/2)) (if (or (<=.f64 th 164999999999999990163745595650513624756542616029795477069472373239695882889111734642914160072085017861774269196567390219319503652895495932400619736015095882809711115822929911200803624674188426591642387216334848) (not (<=.f64 th 265000000000000016689625252657394005785493556047671030423185115090293599731804908572705389141274339279844815484537319653647764105613313207688074998325097991415965088227784831665247215647255414319138271084439832612643862633299050496))) (.f64 a2 (.f64 1/2 (neg.f64 a2))) (.f64 a2 (.f64 (neg.f64 a2) -1/4))))
(if (<=.f64 th 8782019273372467/1125899906842624) (.f64 (.f64 a2 a2) (sqrt.f64 1/2)) (if (or (<=.f64 th 164999999999999990163745595650513624756542616029795477069472373239695882889111734642914160072085017861774269196567390219319503652895495932400619736015095882809711115822929911200803624674188426591642387216334848) (not (<=.f64 th 265000000000000016689625252657394005785493556047671030423185115090293599731804908572705389141274339279844815484537319653647764105613313207688074998325097991415965088227784831665247215647255414319138271084439832612643862633299050496))) (.f64 a2 (.f64 (neg.f64 1/2) a2)) (.f64 a2 (.f64 (neg.f64 -1/4) a2))))
(if (<=.f64 th 8782019273372467/1125899906842624) (.f64 (.f64 a2 a2) (sqrt.f64 1/2)) (if (or (<=.f64 th 164999999999999990163745595650513624756542616029795477069472373239695882889111734642914160072085017861774269196567390219319503652895495932400619736015095882809711115822929911200803624674188426591642387216334848) (not (<=.f64 th 265000000000000016689625252657394005785493556047671030423185115090293599731804908572705389141274339279844815484537319653647764105613313207688074998325097991415965088227784831665247215647255414319138271084439832612643862633299050496))) (.f64 a2 (.f64 a2 (neg.f64 1/2))) (.f64 a2 (.f64 a2 (neg.f64 -1/4)))))
(if (<=.f64 th 8782019273372467/1125899906842624) (.f64 (.f64 -1 (neg.f64 a2)) a2) (if (<=.f64 th 164999999999999990163745595650513624756542616029795477069472373239695882889111734642914160072085017861774269196567390219319503652895495932400619736015095882809711115822929911200803624674188426591642387216334848) (.f64 (.f64 1/2 (neg.f64 a2)) a2) (if (<=.f64 th 265000000000000016689625252657394005785493556047671030423185115090293599731804908572705389141274339279844815484537319653647764105613313207688074998325097991415965088227784831665247215647255414319138271084439832612643862633299050496) (.f64 (.f64 -1/4 (neg.f64 a2)) a2) (.f64 (.f64 1/2 (neg.f64 a2)) a2))))
(if (<=.f64 th 8782019273372467/1125899906842624) (.f64 a2 (neg.f64 (neg.f64 a2))) (if (or (<=.f64 th 164999999999999990163745595650513624756542616029795477069472373239695882889111734642914160072085017861774269196567390219319503652895495932400619736015095882809711115822929911200803624674188426591642387216334848) (not (<=.f64 th 265000000000000016689625252657394005785493556047671030423185115090293599731804908572705389141274339279844815484537319653647764105613313207688074998325097991415965088227784831665247215647255414319138271084439832612643862633299050496))) (.f64 a2 (.f64 1/2 (neg.f64 a2))) (.f64 a2 (*.f64 (neg.f64 a2) -1/4))))
(if (<=.f64 th 8782019273372467/1125899906842624) (.f64 a2 a2) (if (or (<=.f64 th 164999999999999990163745595650513624756542616029795477069472373239695882889111734642914160072085017861774269196567390219319503652895495932400619736015095882809711115822929911200803624674188426591642387216334848) (not (<=.f64 th 265000000000000016689625252657394005785493556047671030423185115090293599731804908572705389141274339279844815484537319653647764105613313207688074998325097991415965088227784831665247215647255414319138271084439832612643862633299050496))) (.f64 a2 (.f64 (neg.f64 1/2) a2)) (.f64 a2 (*.f64 (neg.f64 -1/4) a2))))
(if (<=.f64 th 8782019273372467/1125899906842624) (.f64 a2 a2) (if (or (<=.f64 th 164999999999999990163745595650513624756542616029795477069472373239695882889111734642914160072085017861774269196567390219319503652895495932400619736015095882809711115822929911200803624674188426591642387216334848) (not (<=.f64 th 265000000000000016689625252657394005785493556047671030423185115090293599731804908572705389141274339279844815484537319653647764105613313207688074998325097991415965088227784831665247215647255414319138271084439832612643862633299050496))) (.f64 a2 (.f64 a2 (neg.f64 1/2))) (.f64 a2 (*.f64 a2 (neg.f64 -1/4)))))
(if (<=.f64 th 8782019273372467/1125899906842624) (.f64 (.f64 -1 (neg.f64 a2)) a2) (if (<=.f64 th 164999999999999990163745595650513624756542616029795477069472373239695882889111734642914160072085017861774269196567390219319503652895495932400619736015095882809711115822929911200803624674188426591642387216334848) (.f64 (.f64 1/4 (neg.f64 a2)) a2) (if (<=.f64 th 265000000000000016689625252657394005785493556047671030423185115090293599731804908572705389141274339279844815484537319653647764105613313207688074998325097991415965088227784831665247215647255414319138271084439832612643862633299050496) (.f64 (.f64 -1/4 (neg.f64 a2)) a2) (.f64 (.f64 1/4 (neg.f64 a2)) a2))))
(if (<=.f64 th 8782019273372467/1125899906842624) (.f64 a2 (neg.f64 (neg.f64 a2))) (if (or (<=.f64 th 164999999999999990163745595650513624756542616029795477069472373239695882889111734642914160072085017861774269196567390219319503652895495932400619736015095882809711115822929911200803624674188426591642387216334848) (not (<=.f64 th 265000000000000016689625252657394005785493556047671030423185115090293599731804908572705389141274339279844815484537319653647764105613313207688074998325097991415965088227784831665247215647255414319138271084439832612643862633299050496))) (.f64 a2 (neg.f64 (.f64 1/4 a2))) (.f64 a2 (*.f64 (neg.f64 a2) -1/4))))
(if (<=.f64 th 8782019273372467/1125899906842624) (.f64 a2 a2) (if (or (<=.f64 th 164999999999999990163745595650513624756542616029795477069472373239695882889111734642914160072085017861774269196567390219319503652895495932400619736015095882809711115822929911200803624674188426591642387216334848) (not (<=.f64 th 265000000000000016689625252657394005785493556047671030423185115090293599731804908572705389141274339279844815484537319653647764105613313207688074998325097991415965088227784831665247215647255414319138271084439832612643862633299050496))) (.f64 a2 (.f64 (neg.f64 1/4) a2)) (.f64 a2 (*.f64 (neg.f64 -1/4) a2))))
(if (<=.f64 th 8782019273372467/1125899906842624) (.f64 a2 a2) (if (or (<=.f64 th 164999999999999990163745595650513624756542616029795477069472373239695882889111734642914160072085017861774269196567390219319503652895495932400619736015095882809711115822929911200803624674188426591642387216334848) (not (<=.f64 th 265000000000000016689625252657394005785493556047671030423185115090293599731804908572705389141274339279844815484537319653647764105613313207688074998325097991415965088227784831665247215647255414319138271084439832612643862633299050496))) (.f64 a2 (.f64 a2 (neg.f64 1/4))) (.f64 a2 (*.f64 a2 (neg.f64 -1/4)))))
(if (<=.f64 th 8782019273372467/1125899906842624) (.f64 (.f64 -1 (neg.f64 a2)) a2) (if (<=.f64 th 164999999999999990163745595650513624756542616029795477069472373239695882889111734642914160072085017861774269196567390219319503652895495932400619736015095882809711115822929911200803624674188426591642387216334848) (.f64 (.f64 1/8 (neg.f64 a2)) a2) (if (<=.f64 th 265000000000000016689625252657394005785493556047671030423185115090293599731804908572705389141274339279844815484537319653647764105613313207688074998325097991415965088227784831665247215647255414319138271084439832612643862633299050496) (.f64 (.f64 -1/4 (neg.f64 a2)) a2) (.f64 (.f64 1/8 (neg.f64 a2)) a2))))
(if (<=.f64 th 8782019273372467/1125899906842624) (.f64 a2 (neg.f64 (neg.f64 a2))) (if (or (<=.f64 th 164999999999999990163745595650513624756542616029795477069472373239695882889111734642914160072085017861774269196567390219319503652895495932400619736015095882809711115822929911200803624674188426591642387216334848) (not (<=.f64 th 265000000000000016689625252657394005785493556047671030423185115090293599731804908572705389141274339279844815484537319653647764105613313207688074998325097991415965088227784831665247215647255414319138271084439832612643862633299050496))) (.f64 a2 (.f64 (neg.f64 a2) 1/8)) (.f64 a2 (*.f64 (neg.f64 a2) -1/4))))
(if (<=.f64 th 8782019273372467/1125899906842624) (.f64 a2 a2) (if (or (<=.f64 th 164999999999999990163745595650513624756542616029795477069472373239695882889111734642914160072085017861774269196567390219319503652895495932400619736015095882809711115822929911200803624674188426591642387216334848) (not (<=.f64 th 265000000000000016689625252657394005785493556047671030423185115090293599731804908572705389141274339279844815484537319653647764105613313207688074998325097991415965088227784831665247215647255414319138271084439832612643862633299050496))) (neg.f64 (.f64 (.f64 a2 1/8) a2)) (.f64 a2 (*.f64 (neg.f64 -1/4) a2))))
(if (<=.f64 th 8782019273372467/1125899906842624) (.f64 a2 a2) (if (or (<=.f64 th 164999999999999990163745595650513624756542616029795477069472373239695882889111734642914160072085017861774269196567390219319503652895495932400619736015095882809711115822929911200803624674188426591642387216334848) (not (<=.f64 th 265000000000000016689625252657394005785493556047671030423185115090293599731804908572705389141274339279844815484537319653647764105613313207688074998325097991415965088227784831665247215647255414319138271084439832612643862633299050496))) (neg.f64 (.f64 a2 (.f64 a2 1/8))) (.f64 a2 (*.f64 a2 (neg.f64 -1/4)))))
(if (<=.f64 th 8782019273372467/1125899906842624) (.f64 (.f64 -1 (neg.f64 a2)) a2) (if (<=.f64 th 164999999999999990163745595650513624756542616029795477069472373239695882889111734642914160072085017861774269196567390219319503652895495932400619736015095882809711115822929911200803624674188426591642387216334848) (.f64 (.f64 1/16 (neg.f64 a2)) a2) (if (<=.f64 th 265000000000000016689625252657394005785493556047671030423185115090293599731804908572705389141274339279844815484537319653647764105613313207688074998325097991415965088227784831665247215647255414319138271084439832612643862633299050496) (.f64 (.f64 -1/4 (neg.f64 a2)) a2) (.f64 (.f64 1/16 (neg.f64 a2)) a2))))
(if (<=.f64 th 8782019273372467/1125899906842624) (.f64 a2 (neg.f64 (neg.f64 a2))) (if (or (<=.f64 th 164999999999999990163745595650513624756542616029795477069472373239695882889111734642914160072085017861774269196567390219319503652895495932400619736015095882809711115822929911200803624674188426591642387216334848) (not (<=.f64 th 265000000000000016689625252657394005785493556047671030423185115090293599731804908572705389141274339279844815484537319653647764105613313207688074998325097991415965088227784831665247215647255414319138271084439832612643862633299050496))) (.f64 a2 (neg.f64 (.f64 1/16 a2))) (.f64 a2 (*.f64 (neg.f64 a2) -1/4))))
(if (<=.f64 th 8782019273372467/1125899906842624) (.f64 a2 a2) (if (or (<=.f64 th 164999999999999990163745595650513624756542616029795477069472373239695882889111734642914160072085017861774269196567390219319503652895495932400619736015095882809711115822929911200803624674188426591642387216334848) (not (<=.f64 th 265000000000000016689625252657394005785493556047671030423185115090293599731804908572705389141274339279844815484537319653647764105613313207688074998325097991415965088227784831665247215647255414319138271084439832612643862633299050496))) (.f64 a2 (.f64 (neg.f64 1/16) a2)) (.f64 a2 (*.f64 (neg.f64 -1/4) a2))))
(if (<=.f64 th 8782019273372467/1125899906842624) (.f64 a2 a2) (if (or (<=.f64 th 164999999999999990163745595650513624756542616029795477069472373239695882889111734642914160072085017861774269196567390219319503652895495932400619736015095882809711115822929911200803624674188426591642387216334848) (not (<=.f64 th 265000000000000016689625252657394005785493556047671030423185115090293599731804908572705389141274339279844815484537319653647764105613313207688074998325097991415965088227784831665247215647255414319138271084439832612643862633299050496))) (.f64 a2 (.f64 a2 (neg.f64 1/16))) (.f64 a2 (*.f64 a2 (neg.f64 -1/4)))))
(if (<=.f64 th 8782019273372467/1125899906842624) (.f64 (.f64 -1 (neg.f64 a2)) a2) (if (<=.f64 th 164999999999999990163745595650513624756542616029795477069472373239695882889111734642914160072085017861774269196567390219319503652895495932400619736015095882809711115822929911200803624674188426591642387216334848) (.f64 (.f64 1/64 (neg.f64 a2)) a2) (if (<=.f64 th 265000000000000016689625252657394005785493556047671030423185115090293599731804908572705389141274339279844815484537319653647764105613313207688074998325097991415965088227784831665247215647255414319138271084439832612643862633299050496) (.f64 (.f64 -1/4 (neg.f64 a2)) a2) (.f64 (.f64 1/64 (neg.f64 a2)) a2))))
(if (<=.f64 th 8782019273372467/1125899906842624) (.f64 a2 (neg.f64 (neg.f64 a2))) (if (or (<=.f64 th 164999999999999990163745595650513624756542616029795477069472373239695882889111734642914160072085017861774269196567390219319503652895495932400619736015095882809711115822929911200803624674188426591642387216334848) (not (<=.f64 th 265000000000000016689625252657394005785493556047671030423185115090293599731804908572705389141274339279844815484537319653647764105613313207688074998325097991415965088227784831665247215647255414319138271084439832612643862633299050496))) (.f64 a2 (.f64 (neg.f64 a2) 1/64)) (.f64 a2 (*.f64 (neg.f64 a2) -1/4))))
(if (<=.f64 th 8782019273372467/1125899906842624) (.f64 a2 a2) (if (or (<=.f64 th 164999999999999990163745595650513624756542616029795477069472373239695882889111734642914160072085017861774269196567390219319503652895495932400619736015095882809711115822929911200803624674188426591642387216334848) (not (<=.f64 th 265000000000000016689625252657394005785493556047671030423185115090293599731804908572705389141274339279844815484537319653647764105613313207688074998325097991415965088227784831665247215647255414319138271084439832612643862633299050496))) (.f64 a2 (.f64 (neg.f64 a2) 1/64)) (.f64 a2 (*.f64 (neg.f64 -1/4) a2))))
(if (<=.f64 th 8782019273372467/1125899906842624) (.f64 a2 a2) (if (or (<=.f64 th 164999999999999990163745595650513624756542616029795477069472373239695882889111734642914160072085017861774269196567390219319503652895495932400619736015095882809711115822929911200803624674188426591642387216334848) (not (<=.f64 th 265000000000000016689625252657394005785493556047671030423185115090293599731804908572705389141274339279844815484537319653647764105613313207688074998325097991415965088227784831665247215647255414319138271084439832612643862633299050496))) (.f64 a2 (.f64 a2 (neg.f64 1/64))) (.f64 a2 (*.f64 a2 (neg.f64 -1/4)))))
(.f64 (.f64 -1/2 (neg.f64 a2)) a2)
(.f64 a2 (.f64 (neg.f64 a2) -1/2))
(neg.f64 (.f64 a2 (.f64 a2 -1/2)))
(.f64 (neg.f64 a2) (.f64 a2 -1/2))
(.f64 (.f64 -1 (neg.f64 a2)) a2)
(*.f64 a2 (neg.f64 (neg.f64 a2)))
(*.f64 a2 a2)
a2
1

Compiler

Compiled 390 to 277 computations (29% saved)

soundness5.2s (27.9%)

Rules

3602×	`fma-def`
1900×	`fma-neg`
1900×	`fma-neg`
1900×	`fma-neg`
1900×	`fma-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	41	312
1	121	280
2	341	280
3	920	280
4	2205	280
5	3970	280
6	5361	280
7	5949	280
8	6022	280
9	6033	280
10	6038	280
11	7257	280
0	20	224
1	432	214
2	5408	214
0	20	224
1	432	214
2	5408	214
0	30	198
1	649	198
0	338	7864
1	899	7218
2	2893	6306
3	6082	6300
0	1075	28418
1	3043	26628
0	30	274
1	657	254
2	7719	254
0	1075	28418
1	3043	26628
0	30	198
1	649	198
0	338	7864
1	899	7218
2	2893	6306
3	6082	6300
0	30	274
1	657	254
2	7719	254
0	1075	28418
1	3043	26628
0	30	198
1	649	198
0	30	198
1	649	198
0	30	198
1	649	198
0	30	198
1	649	198
0	30	198
1	649	198
0	30	198
1	649	198
0	30	198
1	649	198
0	30	198
1	649	198
0	30	198
1	649	198
0	338	7864
1	899	7218
2	2893	6306
3	6082	6300
0	30	274
1	657	254
2	7719	254
0	1075	28418
1	3043	26628
0	802	27483
1	2037	25297
0	30	274
1	657	254
2	7719	254
0	25	194
1	552	178
2	7936	178
0	338	7864
1	899	7218
2	2893	6306
3	6082	6300
0	662	15217
1	1828	14333
0	20	224
1	432	214
2	5408	214
0	802	27483
1	2037	25297

Stop Event

1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 1531 to 929 computations (39.3% saved)

end0.0ms (0%)

preprocess251.0ms (1.4%)

Remove

(sort a1 a2)

(abs th)

(abs a2)

(abs a1)

Compiler

Compiled 868 to 554 computations (36.2% saved)

analyze0.0ms (0%)

sample3.5s (18.7%)

preprocess300.0ms (1.6%)

eval1.0ms (0%)

prune3.0ms (0%)

localize258.0ms (1.4%)

series81.0ms (0.4%)

rewrite356.0ms (1.9%)

simplify420.0ms (2.3%)

eval541.0ms (2.9%)

prune217.0ms (1.2%)

localize475.0ms (2.6%)

series206.0ms (1.1%)

rewrite409.0ms (2.2%)

simplify234.0ms (1.3%)

eval640.0ms (3.5%)

prune233.0ms (1.3%)

localize300.0ms (1.6%)

series14.0ms (0.1%)

rewrite215.0ms (1.2%)

simplify158.0ms (0.9%)

eval360.0ms (1.9%)

prune212.0ms (1.1%)

localize245.0ms (1.3%)

series7.0ms (0%)

rewrite123.0ms (0.7%)

simplify165.0ms (0.9%)

eval216.0ms (1.2%)

prune148.0ms (0.8%)

regimes319.0ms (1.7%)

regimes248.0ms (1.3%)

regimes220.0ms (1.2%)

regimes192.0ms (1%)

regimes121.0ms (0.7%)

regimes133.0ms (0.7%)

regimes236.0ms (1.3%)

regimes52.0ms (0.3%)

regimes125.0ms (0.7%)

regimes48.0ms (0.3%)

regimes92.0ms (0.5%)

regimes42.0ms (0.2%)

regimes31.0ms (0.2%)

regimes29.0ms (0.2%)

regimes28.0ms (0.1%)

regimes9.0ms (0%)

regimes12.0ms (0.1%)

regimes15.0ms (0.1%)

regimes10.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch185.0ms (1%)

bsearch136.0ms (0.7%)

bsearch138.0ms (0.7%)

bsearch136.0ms (0.7%)

bsearch138.0ms (0.7%)

bsearch134.0ms (0.7%)

bsearch149.0ms (0.8%)

simplify129.0ms (0.7%)

soundness5.2s (27.9%)

end0.0ms (0%)

preprocess251.0ms (1.4%)

Profiling